Answer
$y=7$
Work Step by Step
To solve this equation, we are going to use the Pythagorean Theorem, which is:
$a^2+b^2=c^2$
When we substitute the variables for our numbers, we get:
$24^2+y^2=625$
(In this expression, $y$ represents $b$)
Next, we have to expand the square roots into:
$576+y^2=625$
If you subtract $576$ from both sides, you get:
$y^2=49$
Next, you take the square root of both sides.
$\sqrt y^2=\sqrt 49$
Therefore, you arrive at your final answer, which is:
$y=7$
