







Un triangle équilatéral 
20021027 

Un eleve pose la question : Soit ABC un triangle équilatéral construit dans le sens direct. Le point D est symétrique de A par rapport à la droite (BC), et le point E est symétrique de B par rapport au point C. L'intersection des droites (AD) et (BC)est notée H. On pose AB=a.  Je dois calculer les longueurs AD et AE en fonction de a.
 Je dois montrer que le triangle ADE est équilatéral. J'arrive a prouver qu'il est isocèle en E mais j'aimerai trouver que AD=DE.
Claude Tardif lui répond. 





An equilateral triangle 
20190410 

ethan pose la question : In equilateral triangle RST, R has coordinates (0, 0) and T has coordinates of (2a, 0). Find the coordinates of S in terms of a. Penny Nom lui répond. 





An equilateral triangle inscribed in a circle 
20190129 

Penny pose la question : What is the length of each side of the largest equilateral triangle that fits inside a 3 inch diameter circle? Penny Nom lui répond. 





An equilateral triangle inscribed in a circle 
20170915 

sumit pose la question : what is the area (in sq. unit) of an equilateral triangle inscribed in the circle x^2+y^24x6y23=0. Penny Nom lui répond. 





A circle inscribed in an equilateral triangle 
20161127 

jo pose la question : what is the radius of the inscribed circle of an equilateral triangle with altitude 12 units? Penny Nom lui répond. 





An equilateral triangle inscribed in a circle 
20150611 

Casey pose la question : I have an equilateral triangle inscribed in a circle  this triangle
has been bisected to give me 2 right triangles. I know the length
of the line bisecting the equilateral triangle is 36 inches. How do
I figure out the circumference of the circle and the length of the
sides of the equilateral triangle? Penny Nom lui répond. 





The height of an equilateral triangle 
20150312 

anna pose la question : I am anna and i am in 7th grade.
i am trying to find the height of and equilateral triangle, all sides equaling 4 inches Penny Nom lui répond. 





An equilateral triangle inscribed in a circle 
20130117 

Nicole pose la question : How do you find the shaded region of a circle if an unshaded equilateral triangle in inscribed in it. The only other things I know about the problem are that the side lengths of the equilateral triangle are 14 inches. Penny Nom lui répond. 





The perimeter of an equilateral triangle 
20121214 

shreyaarora pose la question : if the area of on equilateral triangle is 24/3cm,then what is its perimeter Penny Nom lui répond. 





An equilateral triangle and a regular hexagon in a circle 
20120911 

Heidemarie pose la question : The vertices of an equilateral triangle with side length of 10 sqrt 3 cm lie on a circle. Find the side length of the regular hexagon whose vertices lie on the same circle. Penny Nom lui répond. 





A circle drawn around a equilateral triangle 
20120401 

BIMAL pose la question : what is the diameter of a circle drawn around a equilateral triangle of size 6 cm Penny Nom lui répond. 





Gravel, sand, cement and an equilateral triangle 
20120321 

saheed pose la question : how many tonnes of gravel and sand,bags of cements will be required to concrete 5feet depth/deep of 4feet equilateral triangle? Harley Weston lui répond. 





The height of an equilateral triangle 
20120229 

Carley pose la question : Hi my name is Carley. I am an 8th garder. What us the height of an equilateral triangle si the sides are 18 cm? Penny Nom lui répond. 





An equilateral triangle and some circles 
20120110 

tushar pose la question : draw an equilateral triangle with side 6cm.draw 3circles with radii 3cm on each angular point of triangle.draw common tangent on each of two circles Penny Nom lui répond. 





The sides of an equilateral triangle 
20110127 

Cristal pose la question : Hello :) How can i find the sides of an equilateral triangle when only given the height 10m? Penny Nom lui répond. 





Can determine if it is scalene, isosceles, or equilateral 
20101201 

Jessie pose la question : find the measures of the sides of triangle KPL and classify each triangle by its sides. my first problem would be K(3,2) P(2,1) L(2,3) ...The three points they give you are the vertices of the triangle and you need to match them up. Draw the triangle and write in the vertices and the related point with the vertex. You will then do the distance formula three times to find the distance of all three sides. Once you have the three sides you can determine if it is scalene, isosceles, or equilateral...using the distance formula how do i solve this? Penny Nom lui répond. 





The area of an equilateral triangle 
20101111 

ginny pose la question : If a equilateral triangle has side lengths of 41.33m how would i calculate the area?
if i don't know the height of the triangle?
thank you. Penny Nom lui répond. 





The vertices of an equilateral triangle 
20100219 

Emma pose la question : If two of the vertices of an equilateral triangle are (2,1) and (6,5), what
are the two possible coordinates of the third side of the triangle? Answer
in radical form. Tyler Wood lui répond. 





Solve for s 
20090812 

Michelle pose la question : My daughter and I are having trouble with this problem...All it says i solve thr formula for the indicated variable.
Height of an Equilateral Triangle.
Solve for s:
H= square root of 3/2 * S Penny Nom lui répond. 





An equilateral triangle 
20081217 

lorraine pose la question : an equilateral triangle has side lenghts of10.the length of its altitude is? Penny lui répond. 





The height of an equilateral triangle 
20081106 

touqeer pose la question : My question is that how can we find the height of an equilateral triangle without using pythagoras theorem? Penny Nom lui répond. 





A geometric construction 
20081017 

M pose la question : Given any 3 parallel lines on a plane, how to construct an equilateral triangle with each vertex on each line? Chris Fisher lui répond. 





The perimeter of an equilateral triangle 
20080911 

Gerry pose la question : How can I find the perimeter (length of side) of an equilateral triangle if the only information I have is the altitude? Penny Nom lui répond. 





An equilateral triangle 
20080721 

Meagan pose la question : An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. What are the coordinates of the third vertex? You may want to sketch it out.
Note: The sides of an equilateral triangle are identical in length. Harley Weston lui répond. 





Two triangles and a circle 
20080703 

Anita pose la question : An equilateral triangle with side of length 1 cm is inscribed in a circle. A second equilateral triangle is circumscribed about the circle with all sides tangent to the circle. Find the length of a side of the second triangle. Harley Weston lui répond. 





The Pythagorean theorem with triangles rather than squares 
20080429 

Zachary pose la question : I need to figure out how to prove the pythagorean theoorem using equilateral triangles
instead of using square. I know that A^2+B^2=C^2, but how do you get that by using equilateral
triangles. I know the area of a triangle is BH1/2=Area. So what i need to know is how to derieve the
formula of a triangle to get the pythagorean theorem Penny Nom lui répond. 





The area of an equilateral triangle 
20080328 

ElizabethMorgan pose la question : I have a problem that reads:
Find the area of a triangle with sides of 4 cm. Find the height first.
This means that I have an equilateral triangle, and I need a formula
to calculate the height using the base, and the sides. Stephen La Rocque lui répond. 





The area of an equilateral triangle 
20080316 

michael pose la question : my daughter has been given a task and I'm stuck too.
if an area of an equilateral triangle = 85cm squared
there are no other dimensions provided.
how do I calculate the length of each side ? please Penny Nom lui répond. 





A 6 pointed star 
20080304 

Siddharth pose la question : When 2 congruent equilateral triangles share a common center, their union can be a star
If their overlap is a regular hexagon with an area of 60, what is the area of one of the original equilateral triangles?
a) 60 b) 70 c) 80 d)90 e)100 Stephen La Rocque lui répond. 





A proof in geometry 
20080227 

Kimberly pose la question : I'm trying to write a proof for the following: If all altitudes are equal in an equilateral triangle then all sides are equal. Stephen La Rocque and Penny Nom lui répond. 





Finding all the angles 
20071213 

Rajesh pose la question : An eqilateral triangle is drawn in a square with one of the side as its base and draw the lines from the other angular sides such that there are four triangles
formed inside the square which includes the equilateral triangle.I want to know all the angles of all the triangles formed inside the square. Stephen La Rocque and Penny Nom lui répond. 





The length of the side of a triangle 
20071028 

devon pose la question : hay ok i have the height of a triangle but how do i find the length od the side if all of the sides are the same length Penny Nom lui répond. 





An equalateral triangle is 30 acres 
20071028 

mike pose la question : If the area of an equilateral triangle is 30 acres, what is the length of each side in feet or miles? Penny Nom and Victoria West lui répond. 





An equilateral triangle with height 2 inches 
20071023 

Christine pose la question : I'm doing an project in school about tessellations.
But first, I have to construct an equilateral triangle with an altitude of exactly 2 inches.
I know how to draw an equilateral triangle...but I don't know what I have to do in order for the triangle to have an altitude of 2 inches. Penny Nom lui répond. 





The area of equilateral triangle 
20070605 

solomon pose la question : describe the area of equilateral triangle in terms of its side? solve in two ways. Stephen La Rocque lui répond. 





Area of an equilateral triangle 
20070509 

Diana pose la question : how do i find the area of an equilateral triangle when they give us the base? Penny Nom lui répond. 





Can the triangle be called both an acute triangle and an equilateral triangle? 
20070310 

Jane pose la question : If all sides of a triangle are the same length and all angles are 60 degrees, can the triangle be called both an acute triangle and an equilateral triangle? Walter Whiteley lui répond. 





Can an equilateral triangle have an obtuse angle? 
20060326 

Chris pose la question : Can an equilateral triangle have an obtuse angle?
I'm thinking not, because all sides must be equal, but
does that also imply that all angles are equal?
Stephen La Rocque lui répond. 





Three towns are located at the vertices of an equilateral triangle 
20060320 

A student pose la question : three towns are located at the vertices of an equilateral triangle. The towns are 8, 5, and 3 miles, respectively, from a store. How far apart are the towns? Chris Fisher lui répond. 





An equilateral triangle and a regular hexagon 
20060228 

Trevor pose la question : An equilateral triangle and a regular hexagon have equal length perimeters. What is the ratio of their areas? Penny Nom and Stephen La Rocque lui répond. 





Constructing figures 
20050920 

Kim pose la question : I would like to know how to draw different shapes:
Regular Octagon with sides of length, 1 unit
Equilateral Triangles, with sides of length 1 unit
Regular Hexagons, with sides of length 1 unit
Isoseles Triangles, with hypotenuse of length 1 unit
Penny Nom lui répond. 





Napoleon's theorem 
20040227 

David pose la question : How do i prove this : For any triangle, if you make 3 equillateral triangles
using the sides of the the original triangle, the central points of the 3
tringles another triangle that is equillateral.z Chris Fisher and Penny Nom lui répond. 





Area of an equilateral triangle 
20031125 

Jared pose la question : Can you help me understand why the area of a equilateral triangle is the square root of 3 divided by 4 times the lenght of the side squared? Penny Nom lui répond. 





The height of an equilateral triangle 
20030406 

Rosa pose la question : If Each side of an equilateral triangle is 10 m. What is the height? Penny Nom lui répond. 





An equilateral triangle 
20030317 

Shirley pose la question : An equilateral triangle is one in which all three sides are of equal length. If two vertices of an equilateral triangle are (0,4) and (0,0), find the third vertex. How many of these triangles are possible? Penny Nom lui répond. 





An equalateral polygon inscribed within an ellipse 
20020630 

Steven pose la question : How would you calculate the length of one of the sides of an equalateral polygon (of n sides) inscribed within an ellipse ( of any eccentricity ) where all of the vertices exactly touch the perimeter of the ellipse? I know that when the eccentricity is zero ( i.e a circle ) the formula: r * (sin(180/n) * 2) will suffice. But what about when the eccentricity is greater than zero? Chris Fisher lui répond. 





An equilateral triangle 
20020611 

Sarah pose la question : Hi. My name is Sarah. I'm a secondary student taking a Math 30C course by correspondence. The question has two parts.
The first part is: Draw an equilateral triangle XYZ. Draw the altitude from X to YZ. Choose any point P inside the triangle or on the triangle. Draw perpendiculars from P to the sides of the triangle. The Second part is:
Measure the altitude h and the 3 perpendiculars s, t, and u to the nearest mm. Repeat as many time as is necessary until you can state a generalization concerning h, s, t, and u. If you could help me, it would be greatly appreciated. Penny Nom lui répond. 





Isoscles and scalene 
20010417 

Autumn pose la question : explain where the term isoscles and scalene came from? Chris Fisher lui répond. 





Constructing an equilateral triangle 
20010414 

Peggy pose la question : Please send directions to make an equilateral triangle in plane geometry. I want each student to draw two, cut them out, and place them together to form a Jewish Star. Penny Nom lui répond. 





Equilateral 
20010125 

A student pose la question : I AM 9 YEARS OLD AND I HAVE HOMEWORK. I WOULD LIKE TO KNOW IF THERE IS SUCH A THING AS A EQUILATERAL SQUARE. Penny Nom lui répond. 





An equilateral triangle in a circle 
20000311 

Michael Setlik pose la question : An equilateral triangle is drawn within a circle such that all three points of the triangle just touch the inside of the circle. Given the diameter of the cicle as six inches what is the length of the sides of the triangle? Harley Weston lui répond. 





Isosceles triangles 
19991012 

Amber pose la question : In defining the types of triangles, our class was stumped by a question asked by one of the student. Maybe you could help. The definition of an equilateral triangle is a triangle with three congruent sides. The definiton of an isosceles triangle is a triangle with at LEAST two congruent sides. The question is, if an isosceles triangle only requires at Least two of the sides to be congruent, could an equilateral triangle be called an isosceles triangle? Penny Nom, Walter Whiteley and Chris Fisher lui répond. 





An equilateral triangle on a square 
19990426 

Ed pose la question : My Grade 8 class and I were discussing the solution to the following problem: What is the area of the largest equilateral triangle that can be drawn on a 5 cm square. We used 5 cm as the base of our triangle and then drew the other two legs of 5 cm each to make the equilateral triangle. We then drew an altitude from the upper vertex to the base of the triangle. Using the law of Pythagoras with side a of 2.5 and side c of 5 we calculated side b to be 4.3 cm (the altitude). Therefore the area of the triangle would be 5 x 4.3 divided by 2 or 10.75 square cm. The answer key to this resource says I am wrong. What do you think? Have we interpreted the question incorrectly? Chris Fisher and Harley Weston lui répond. 





Area of a triangle. 
19980201 

Jodi Blucher pose la question : Is there a formula for the area of an equilateral triangle knowing the length of the sides? Chris Fisher and Harley Weston lui répond. 

