







The diagonals of a polygon 
20160129 

Sofia pose la question : What are diagonals and if you drew an octagon and drew all the diagonals how many would there be? Please explain because this is pretty confusing! Thank you! Harley Weston lui répond. 





The length of a diagonal of a box 
20180413 

Valentina pose la question : A packaging box for a metal rod is 7.5 inches along a diagonal of the base the height of the box is 18 inches what is the lengh of a diagonal of the box? Penny Nom lui répond. 





The diagonals of a cube 
20161202 

Peter pose la question : when u have a cube and the inner diagonal is 41.6 how long is the outside diagonal Penny Nom lui répond. 





The diagonal of a 10 acre square 
20160411 

Derrick pose la question : I own 100 acre square of land. I want to run from farthest corner of property to farthest corner, Diagonally. How many miles would I have traveled? Penny Nom lui répond. 





The diagonal of a rhombus 
20151114 

Om pose la question : In a rhombus ABCD, angle A=60° and side AB=6 cm. Then diagonal BD is ? Penny Nom lui répond. 





The diagonals of a cube 
20140904 

Rukshanth pose la question : How many diagonals does a cube have? Harley Weston lui répond. 





Intersection points and diagonals 
20130911 

Kenneth pose la question : I was wondering, is there a relationship between the number of sides of a regular ngon and the number of times its diagonals intersect?
Ie:
4 sides=1 intersect (center, diagonals form an 'X' )
5 sides=5 intersects (diagonals form a star)
6 sides=13 intersects
And so on. Chris Fisher lui répond. 





The diagonals of a parallelogram 
20110217 

ginger pose la question : Find the diagonals of parallelogram where the the side is 40 and the bottom side is 15. Penny Nom lui répond. 





Sides and diagonals of a polygon 
20101125 

nicky pose la question : The sum of sides of two polygons is 12 and the sum of their diagonals is 19. What kind of polygon are they? Penny Nom lui répond. 





The diagonals of a rectangle 
20100330 

Tabatha pose la question : The diagonals of a rectangle are 8 units long and intersect at a 60 degree angle. Find the dimensions of the rectangle. Penny Nom lui répond. 





A diagonal of an octagon 
20100302 

cody pose la question : I have an octagon 3ft tall by 3ft wide. What are the lengths of the diagonal lines to the vertical and horizontal lines (b and b)? Penny Nom lui répond. 





Loading a headboard in a uhaul 
20100120 

gina pose la question : I have a uhaul 9'10" long 4"9"wide 4'7"height I have a headboard 74 inches in height would it fit the box diagonally Penny Nom lui répond. 





Polygons, diagonals and the sum of the measures of the angles 
20091218 

jason pose la question : find the set of polygons in which the number of diagonals is greater than the sum of the measures of the angles Robert Dawson lui répond. 





A diagonal of a rectangle 
20090701 

Ruben pose la question : Please assist me with the following problem: A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer than the width. What are the dimensions of the rectangle? Thanks Harley Weston lui répond. 





The sides of a parallelogram 
20090317 

Sami pose la question : If ABCD is a parallelogram, prove that line AB is congruent to line CD. Clearly state your reasons and conjectures. Penny Nom lui répond. 





A walkway through a park 
20090307 

felicia pose la question : a diagonal walkway through a park is 18 meters long. If the park is a square, how long is one of its sides to the nearest tenth of a meter? Penny Nom lui répond. 





A shape with 10 sides 
20090303 

Sandra pose la question : One of my son's math questions is as follows:
Suppose I have a shape with 10 sides. I choose a vertex then draw lines to the other vertices that dont share sides with the first vertex. How many vertices will that be and why? Penny Nom lui répond. 





Diagonals of a polygon 
20090216 

Julie pose la question : How many diagonals can be drawn from one vertex in a 12sided polygon? Leeanne Boehm lui répond. 





A chord 
20090101 

Deepa pose la question : Why in a circle,a chord is called as the longest diameter?
(A chord does not passes through the centre of the circle but a diameter passes through the centre) Penny Nom lui répond. 





The diagonals of an isosceles trapezoid 
20081114 

hazel pose la question : how to solve the diagonals of an isosceles trapezoid? what is the formula? Harley Weston lui répond. 





A square with diagonal 200 metres 
20080820 

kelvin pose la question : find the are and perimeter of a square with diagonal of 200 meters? Penny Nom lui répond. 





Perimeter, area and diagonals of a rectangle 
20080403 

jenea pose la question : I have to find the perimeter as well as the area of a rectangle when given the diagonals are 12 units long and they intersect at a 60 degree angle. how do i find both the area and perimeter; do i use the 30 60 90 triangle rule? Stephen La Rocque and Penny Nom lui répond. 





The diagonals of a hendecagon 
20080310 

karan pose la question : How many diagonals does a hendecagon have? Penny Nom lui répond. 





A line drawn between 2 vertices 
20080226 

Arshad pose la question : what is a line drawn between 2 vertices which are not next to each other called. Penny Nom lui répond. 





The diagonal of a rectangle 
20080221 

tim pose la question : is there a formula for finding the diagonal of a rectangle? Penny Nom lui répond. 





The diagonal of a cube 
20080210 

Praveen pose la question : Given a Cube's diagonal, how does one find the edge of the cube. Stephen La Rocque lui répond. 





The width of a rectangle is 4 less than twice its length. 
20080209 

Shawn pose la question : The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 72 cm,
what is the length of the diagonal Stephen La Rocque lui répond. 





Cantor's diagonal argument 
20080126 

David pose la question : Cantor's theory using a diagonal across a list of real numbers to proven uncoutability has always puzzled me.First in base ten, it feels like hocus pocus so I began thinking of the Boolean numbers as truer representations of place value (on,off). Secondly his list was always arbitrary or so I recollect. Therefore, I suggested using a seriesA=.10000....,B=.01000. C=.11000, etc.
Any diagonal is already located among the numbers listed. My only alteration is that since the final digit is always unrepresentably either one or zero, but it must be one or the other, I make an assumption that if x= .abc...1 and y= .abc...2 the only two possibilities and I choose to count F=x+y then then the numbers are countable= Z=sumFi,where I=2+2^2+2^3...
I hope this sketch is enough description, I asked Rudy Rucker more formally but got no mathematical response, someone else gave me some tale about slippery epsilon. What do tyou think of recasting his proofs in more rigorous form?
David French Claude Tardif and Walter Whiteley lui répond. 





A line between 2 vertices 
20071028 

robert pose la question : what do we call a line between 2 vertices which are not next to each other Walter Whiteley lui répond. 





The diagonal of a square 
20070923 

Nasreen pose la question : A(7,2) and C(1,4) are two vertices of a square ABCD
find in the form ax+by=c the equation of the diagonal BD Stephen La Rocque lui répond. 





A rectangular sheet of paper is folded along the diagonal 
20070901 

Amit pose la question : A rectangular sheet of a paper with dimensions a and b is folded
along its diagonal. What is the area of the overlapped region? Harley Weston lui répond. 





Diagonals on a cylinder 
20070810 

John pose la question : I have a cylinder that is 37.5" width X 25.25" circumference. I need to create a repeating diagonal lined pattern on the cylinder so that when it prints it joins perfectly at the circumference repeat. The design must follow these specs.
Black diagonal lines need to be 1.250" max width X 1.5" max spacing between the black lines.
Please Help Stephen La Rocque lui répond. 





How many diagonals does a polygon have? 
20070718 

Edna pose la question : how do you find the numbers of diagonals of a polygons? Stephen La Rocque lui répond. 





a^2 + b^2 = c^2 
20070304 

Colburn pose la question : 27 feet long base 14 feet height what is the diagonal Stephen La Rocque lui répond. 





Diagonals of a rectangular grid 
20070221 

matthew pose la question : in a rectangular grid 3600x288 (or any large rectangle with an even number of units) how can I determine the number of vertices a diagonal line will pass through? Stephen La Rocque and Penny Nom lui répond. 





How many diagonals does a hexagon have? 
20070203 

Marsha pose la question : How many diagonals does a hexagon have? Stephen La Rocque lui répond. 





The diagonals of a parallelogram are mutually bisecting 
20070121 

Greta pose la question : I am having trouble proving that the diagonals of a parallelogram are mutually bisecting. Penny Nom lui répond. 





Can you characterize ALL polygons by the number of diagonals it has? 
20061217 

Katie pose la question : Can you characterize ALL polygons by the number of diagonals it has? Penny Nom lui répond. 





The diagonals of a trapezoid 
20051111 

Chris pose la question : Is there ever a case where the diagonals of a trapezoid bisect each other? Walter Whiteley lui répond. 





The diagonals of a hexagon 
20050815 

Brittany pose la question : are all of diagonals in a hexagon has same length Penny Nom lui répond. 





A line segment connecting two vertices of a polygon 
20050202 

James pose la question : What is a line segment (not a side) connecting two vertices of a polygon called? Penny Nom lui répond. 





Probability 
20041204 

A parent pose la question : Consider a 30 sided polygon. If three diagonal are selected at random, what is the PROBABILITY that they share a common endpoint? Denis Hanson lui répond. 





Diagonals in a regular dodecahedron 
20040515 

Joshua pose la question : A dodecahedron has twelve faces, all of which are regular pentagons. Three edges meet at each vertex of the dodecahedron. An interior diagonal is a segment connecting two vertices such that the segment is not an edge or along a face of the dodecagedron. How many interior diagonals does a regular dodecahedron have? Penny Nom lui répond. 





Diagonals in an octagon 
20031113 

Glenn pose la question : Question 1. What is the probability of choosing the longest diagonal in an octagon? Question 2. Probability of choosing the shortest? Andrei Volodin and Penny Nom lui répond. 





Diagonals in an octagon 
20030804 

Amanda pose la question : How many diagonals are in an octagon??? What would be a drawing of those diagonals??? Penny Nom lui répond. 





Diagonals in a polygon 
20020410 

Murray pose la question : If you have a regular polygon with n sides and you draw all (n3)n/2 diagonals how many intersection will they form with each other and how many sections will they devide the polygon into. Caude Tardif and Chris Fisher lui répond. 





The diagonal 
20010328 

Candace pose la question : Building measuring 40 feet 3 inches by 50 feet 3inches What is the measurement of the diagonal of the building? What was method of obtainin answer? Andrei Volodin lui répond. 





order 4+ determinants 
19991206 

Joe Kron pose la question : Why is it never shown how to calculate the value of 4x4 (or larger size) deteminants by the diagonal multiply methods that are generally shown for 2x2 and 3x3 determinants? The method I'm talking about is called Cramer's Rule??? Is this method not extensible to order 4+ and if not why not? Anyway the method always shown for order 4+ is called "reduction by minors" which is not the answer to this question. Walter Whiteley lui répond. 

