Question

Find the unknown side length, x. Write your answer in simplest radical form.

Answer 1

Answer:

B (5 sqrt10)

Step-by-step explanation:

If the hypotenuse is 17, and a leg is 8, that makes the other leg equal to sqrt((17^2)-(8^2)) = sqrt(289-64) = sqrt(225) = 15.

Because you subtract 3 from the leg with length 8, that makes the smaller triangles leg 5. That makes the hypotenuse sqrt(5^2 + 15^2) = 5sqrt10

I'm guessing you typoed for B and meant 5sqrt10, so the answer is B

Answer 2

Answer:

$5\sqrt{10}$

Step-by-step explanation:

If you use Pythagorean's Theorem, the other side becomes 15.

We can now use the same Theorem to find x.

8 - 3 = 5

15^2 + 5^2 = 250

That simplifies down to $5\sqrt{10}$