Question

In ΔABC, if ∠A = 45° and ∠B = 65°, then the longest side of the triangle is .

A
AB
B
BC
C
CA

Solution

The correct option is A ABAs we know that the three angles of a triangle add up to 180∘, Also, the other two angles are given as, ∠A = 45∘ and ∠B = 65∘ Therefore, ∠C = 180∘ - 45∘ - 65∘ = 70∘ Now,  ∠C>∠B>∠A  Hence, the side opposite to ∠A, i.e., BC is the smallest and the side opposite to ∠C, i.e., AB is the largest.

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