Question

The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one. Determine the sides of the triangle.

Answer 1

Let ABC be the triangle such that the lengths of its sides CA, AB and BC are x- 1, x and x + 1 respectively where x ∈ N and x > 1. Let ∠B = α be the smallest angle and ∠A = 2α be the largest angle.

Hence, the lengths of the sides of the triangle are 4, 5 and 6 unit.