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Question

In ΔABC, if ∠A=40° and ∠B=60°. Determine the longest and shortest sides of the triangle.

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Solution

In triangle ABC, we have:
∠A=40°,∠B=60°..(Given)
Here, ∠A+∠B+∠C=180°⇒60°+40°+∠C=180°⇒∠C=80°
∴ The side opposite to∠C, i.e., AB, is the longest side of triangle ABC.

Similarly, the side opposite to the smallest angle (∠A=40° ), i.e. BC is the smallest.

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