Question

The 45°- 45° - 90° Triangle Theorem states that the length of the hypotenuse is ________ times the length of one leg.

Answer 1

 This is an isosceles triangle. If each side is 1, we can find the hypotenuse using the Pythagorean theorem. 

a^2 + b^2 = c^2 
1^2 + 1^2 = c^2 
1 + 1 = c^2 
2 = c^2 
root 2 = c 

Thus, the answer is root 2.

Hope this helps :)