Question

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

Answer 1

Answer:

5$\sqrt{6}$

Step-by-step explanation:

The easiest way to do this problem is to know that the hypotenuse of a 45-45-90 triangle is equal to $\sqrt{2}$ times the length of a leg.  

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