Question

What is the length of the hypotenuse of a 45°-45°-90° triangle
with leg length 5V3?

Answer 1

5
`√(6)`

Explanation:

The easiest way to do this problem is to know that the hypotenuse of a 45-45-90 triangle is equal to
`√(2)` times the length of a leg.

So, in your problem the hypotenuse =
`√(2)`(5
`√(3)`) = 5
`√(6)`. Another way to solve the problem is to use the Pythagorean theorem, but that is a longer way to solve it.