Question

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

Answer 1

Answer:

24

Step-by-step 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.

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