112876
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Triangle Classification Theorems

Question 112876 • RMA FL-1206310-Geometry Semester 2

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

Answer
A
4, 7, 8
B
3, 4, 5
C
2, 2, 3
D
6, 8, 9
E
3, 5, 6

Explanation

For a triangle with longest side c, it is obtuse when c² is greater than the sum of the squares of the other two sides. For 2, 2, 3, we have 3² = 9 > 2² + 2² = 8; for 3, 5, 6, we have 6² = 36 > 3² + 5² = 34. So the obtuse triangles are 2, 2, 3 and 3, 5, 6.

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