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# math is oof

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sid takes a sheet of paper and cuts from one corner, making two triangles. if the length of the cut is 13 inches and the paper is 9 inches long, what is the width of the sheet of paper.

Dec 4, 2018

#1
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The cut must be a diagonal cut if two triangles are formed

The 13 inch cut  forms the hypotenuse of aright triangle....and the length of the paper forms one of the legs

The width is given by

√ [ 13^2 - 9^2 ]    =  √ [ 169 - 81 ]  =   √ 88   ≈  9.38 inches

Dec 4, 2018
#2
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Use the Pythagorean Theorem:

$$9^2+x^2=13^2, 81+x^2=169, x^2=88, x=\sqrt{88}, x=2\sqrt{22}$$

You are very welcome!

:P

Dec 4, 2018