Question
Two of a triangle's interior angles measure and . If the triangle's side lengths are represented by a, b, and c and a<b<c, which of the following statements is true for this triangle? A. , B. , C. , D. Not enough information to determine.
Solution
VerifiedStep 1
1 of 2By Triangle Sum Theorem, the missing angle measures . Since all angles are acute, then the triangle is an acute triangle.
By the Pythagorean acute inequality theorem, a triangle with side lengths , , and where is the longest side form an acute triangle if:
So, the correct answer is choice
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