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harkovskaia [24]
4 years ago
12

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

Mathematics
2 answers:
Otrada [13]4 years ago
8 0

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

Zolol [24]4 years ago
8 0

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}

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