Question

In a 45°-45°-90° triangle , what is the length of the hypotenuse when the length of one of the legs is 8 in.? responses 28‾√ in. 2 square root of 8, in. 88‾√ in. 8 square root 8, in. 82‾√ in. 8 square root of 2, in. 8‾√ in.

Answer 1

The length of the hypotenuse in a 45°-45°-90° triangle is equal to the length of one of the legs times the square root of 2.

Step-by-step explanation:

In a 45°-45°-90° triangle, the length of the hypotenuse is equal to the length of one of the legs times the square root of 2. In this case, if the length of one of the legs is 8 in., then the length of the hypotenuse is 8√2 in.