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

A 15
B. 5 √ 0
C. 2 √ 70
D. 4 √ 37

Find the unknown side length, x. Write your answer in simplest radical form. A 15 B-example-1
User Gokul Kav
by
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2 Answers

2 votes

Answer:


5√(10)

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√(10)

User Sila
by
8.2k points
2 votes

Answer:

B (5 sqrt10)

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

User TeWu
by
8.1k points

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