Question

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

Answer 1

Answer:

BC is longest.

Step-by-step explanation:

angle a+ angle b+ angle c=180

a + 45 +45 =180

a +90 =180

a =180-90

=90

Angle A=90

BC is the longest side.( Side opposite to longer angle is longer)

Answer 2

Given:  In Δ ABC, ∠ B = ∠ C = 45°

We know that, the sum of all angles of triangle is 180°.

∠ A + ∠ B + ∠ C = 180°

∠ A + 45° + 45° = 180°

∠ A + 90° = 180°

∠ A = 180° – 90°  

∠ A = 90°

=> 45° = 45° < 90°

∠ B = ∠ C < ∠ A

AC < AB < BC

Since the side opposite to the greatest angle is largest. Therefore , side opposite to  ∠ A i.e BC is largest.

Hence , BC is the longest side.

 

HOPE THIS ANSWER WILL HELP YOU…..

 

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