Question

4. In triangle ABC, if angle A = 89', C = 45° then which side is the smallest? Explain.

Answer 1

Answer:

We know

side opposite to larger angle of a triangle is the longest side

and

side opposite to smaller angle of the triangle=smallest side

that is

here the largest angle is angle A

We know

sum of all interior angles of a triangle are supplementary

that is

angle A+angle B+angle C=180°

89+angle B+45=180

angle B=180-134

angle B=46°

therefore in ∆ABC i

angle C is the smallest with 45°

therefore side opposite to angle C

that is side AB is the smallest

hope it helps

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