Question

If a 45 45 90 triangle has the hypothenuse of 10 what would the legs x and y be

Answer 1

Explanation:

When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.

10/ sqrt(2) = 7.1 is the rounded answer.

to double check your work just multiply 7.1 by the square root of 2 and you'll get close to 10. (because the answer is rounded and not exact.)