Question

Which special version of the Pythagorean Theorem can you use to find the length of any squares diagonal, d, using only the length of its side, 12 inches. will give 30 points to whoever can help me

Answer 1

The square's diagonal is the triangle's hypotenuse.

The Pythagorean theorem is = $a^{2}+b^{2}=c^{2}$

Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.

As the side is given 12 inches, so this becomes

$12^{2}+12^{2}=d^{2}$

$144+144=d^{2}$

$d^{2}=288$

$d=\sqrt{288}$

$d=16.97$ inches