Triangle Classification Theorems Answers

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1
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Which sets of three of numbers represent the sides of an obtuse triangle? Check all that apply.4, 7, 8 3, 4, 52, 2, 36, 8, 93, 5, 6

A
4, 7, 8
B
3, 4, 5
C
2, 2, 3
D
6, 8, 9
E
3, 5, 6
2
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Sample Response: First, look at the side lengths a, b, and c, where c is the longest. Then take the sum of a squared and b squared and compare it to c squared. If they are equal, the triangle is a right triangle. If c squared is less than a squared plus b squared, the triangle is acute. If c squared is greater than a squared plus b squared, the triangle is obtuse. What did you include in your response? Check all that apply.If a2 + b2 = c2, the triangle is right.If c2 < a2 + b2, the triangle is a

A
If a2 + b2 = c2, the triangle is right.
B
If c2 < a2 + b2, the triangle is acute.
C
If c2 > a2 + b2, the triangle is obtuse.

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