SOLUTION: REVIEW 35: If a triangle has sides of lengths 8, 4, and 4 sqrt(3), is the triangle right?

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Question 79712: REVIEW

35: If a triangle has sides of lengths 8, 4, and 4 sqrt(3), is the triangle right?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem to see if this is true.
c%5E2+=+a%5E2%2Bb%5E2
The longest side is c = 8.
The two legs are a = 4 and b+=+4sqrt%283%29 Making the appropriate substitutions, we get:
8%5E2+=+4%5E2%2B%284sqrt%283%29%29%5E2 Evaluating this:
64+=+16%2B16%283%29
64+=+16%2B48
64+=+64 The triangle is a right triangle.