Find the missing side length in the triangle below? ?

Explanation:

This is a 45-45-90 triangle. The legs are both the same (both 5) and the hypotenuse is in the form x*sqrt(2) where x = 5 is the length of each leg. You can use the pythagorean theorem to solve for b as shown below

a^2 + b^2 = c^2

5^2 + b^2 = (5*sqrt(2))^2

25 + b^2 = 50

b^2 = 50-25

b^2 = 25

b = sqrt(25)

b = 5

So this proves the two legs a = 5 and b = 5 are the same. This is an isosceles right triangle.

step-by-step explanation: