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

Question:

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

Solution:

Given that in ΔABC,

∠B = ∠C = 45°

We have to find longest side

We know that.

Sum of angles in a triangle =180°

∠A + ∠B + ∠C = 180°

∠A + 45° + 45° = 180°

∠A = 180° - (45° + 45°) = 180° - 90° = 90°

∠A = 90°

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