+8 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.
+129850 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
+1252 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
