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

A. 15
B. 11√2
C. 2√121
D. 15√5

Find the unknown side length, x. Write your answer in simplest radical form. A. 15 B-example-1

2 Answers

4 votes

Answer: B! Or 11 square 2 things

Explanation:

just took test ! Good luck

User Mzk Levi
by
5.4k points
5 votes

Answer:

B. 11√2

Explanation:

x is the length of the hypotenuse of an isosceles right triangle with leg length 11. Its measure is x = 11√2.

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Consider a right triangle with legs (a and b) of length 1. Then the Pythagorean theorem tells you the hypotenuse (c) has length ...

c = √(a²+b²) = √(1²+1²) = √2

This same ratio of leg lengths to hypotenuse length (1 : 1 : √2) applies to all isosceles right triangles. So, the length of the hypotenuse is always √2 times the length of a leg in such a triangle.

User Shadi Shaaban
by
5.4k points
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