The 45°- 45° - 90° Triangle Theorem states that the length of the hypotenuse is ________ times the length of one leg. √(x) 3 √(x) 2 1/2 1

Question

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


`√(x) 3`


`√(x) 2`

1/2

1

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 :)