Question

Find the diagonal of 9 inche square?

Answer 1

First, picture a square that naturally has all sides equal to each other. If you draw a diagonal across, you realize a square is just 2 right triangles put together. Because all sides are equal, we can assume that these are special triangles. In particular, a 45, 45, 90 degree triangle. The diagonal is just the hypotenuse.

So for a 45, 45, degree triangle, the sides are as follows: x, x , and
`x√(2)` .

So the sides would be 9, 9,
`9√(2)` (this can't be simplified)

Your answer is
`9√(2)`