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If ON = MN, find MN.

If ON = MN, find MN.-example-1

2 Answers

1 vote

Answer:

C. 4 square root 2

Explanation:

User Ajaybc
by
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3 votes
Use Pythagorean theorem.

[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}

Answer: |MN| = 4√2.
User Feng Wang
by
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