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Question -

In a ∆ABC, if ∠B = ∠C = 45°. which is the longest side?



Answer -

In ∆ABC, ∠B = ∠C = 45°
But ∠A + ∠B + ∠C = 180°
 
⇒ ∠A + 45° + 45° = 180°
⇒ ∠A + 90° = 180°
∴ ∠A = 180°-90° = 90°
∴∠A is the greatest
∴ Side BC opposite to it is the longest

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