Question

What is the length of ef in the right triangle below?

Answer 1

24

Explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

`a^(2) + b^(2) = c^(2)\\\\a^(2) + (7)^(2) = (25)^(2)\\`

Now isolate a on one side and solve for a.

`\\a^(2) = (25)^(2) - (7)^(2)\\\\a = \sqrt{(25)^(2) - (7)^(2)} \\\\a = 24`