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Question

In ∆ABC, if ∠A = 36° and ∠B = 64°, name the longest and shortest sides of the triangle.

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Solution

In triangle ABC, A=36°, B=64°.

Now, A+B+C=180° (Angle sum property)36°+ 64°+C=180°C=180°-100°C=80°

The side opposite the largest angle is the greatest and the side opposite the smallest angle is the shortest.
The side opposite to A, BC, is the shortest side of the triangle and the side opposite to C, AB, the longest side of the triangle.

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