Question

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answer 1

Answer:

the first one

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

$a^2+b^2=c^2=a^2+a^2=c^2$

Remember that $a^2$ and $a^2$ are the legs, which are the same length, so we can do this. Now, we solve the equation.

$a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}$

HOPE THIS HELPS :D