*Answer :*

*Given that in ,*

*∠B = ∠C = 45 ^{o}*

We have to find longest side.

We know that,

Sum of angles in a triangle = 180^{o}

∠A + ∠B + ∠C = 180^{o}

∠A + 45^{o} + 45^{o} = 180^{o}

∠A + 90^{o} = 180^{o}

∠A = 90^{o}

Therefore, BC is the longest side because side opposite to greater angle is larger.

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