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What is the length of NP?

What is the length of NP?-example-1
User Tim Holt
by
8.5k points

1 Answer

6 votes

Answer:


c=√(174)

Explanation:

First, find the length of MP. This can be done with the Pythagorean Theorem.

We can use x as angle MP.

a² + b² = c²

10²+ 7² = x²

100 + 49 = x²

x² = 149

Take the square root to get

x = √(149)

Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.

a² + b² = c²

5² + √(149)² = c²

25 + 149 = c²

c² = 174

c = √(174)

User Jasmyne
by
8.6k points

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