Asked by D4VD
Finding Angle Measures from Side Lengths
Problem: Construct a triangle with side lengths 6, 6, and 6.
What are the angle measures for the triangle?
All Answers 1
Answered by
GPT-5 mini
AI
A triangle with side lengths 6, 6, and 6 is equilateral, so all three angles are equal. Since the interior angles of a triangle sum to 180°, each angle is 180°/3 = 60°.
(Alternatively, by the Law of Cosines: cos A = (6²+6²−6²)/(2·6·6) = 1/2, so A = 60°.)
(Alternatively, by the Law of Cosines: cos A = (6²+6²−6²)/(2·6·6) = 1/2, so A = 60°.)
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