SOLUTION: hello, for my math test tomorrow we have to be able to classify triangles as obtuse, acute, or right. on the review sheet, we were given a problem that gave us three sides of a tri

Question 554661: hello, for my math test tomorrow we have to be able to classify triangles as obtuse, acute, or right. on the review sheet, we were given a problem that gave us three sides of a triangle: 2, 8, and the square root of 65. is this triangle obtuse or acute?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
we were given a problem that gave us three sides of a triangle: 2, 8, and the square root of 65. is this triangle obtuse or acute?
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sqrt(65) is the longest side.
If the square of the longest side is > than the sum of the squares of the other 2, it's obtuse.
If it's less, it's acute.
If it's equal, it's a right triangle.
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65 < (2^2 + 8^2) --> acute
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