Question

In △ ABC, ∠ A = ∠ B = 45°. Which is its longest side?

Answer 1

In △ ABC it is given that ∠ A = ∠ B = 45^o

Based on the sum property of the triangle

∠ A + ∠ B + ∠ C = 180^o

To find ∠ C

∠ C = 180^o – ∠ A – ∠ B

By substituting the values in the above equation

∠ C = 180^o – 45^o – 45^o

By subtraction

∠ C = 180^o – 90^o

∠ C = 90^o

So we get that ∠ C is the greatest angle in △ ABC

Hence, AB is the longest side which is opposite to ∠ C.