Question

Two sides of a triangle have lengths ‘a’ and ‘b’ and the angle between them is θ. What value of θ will maximize the area of the triangle? Find the maximum area of the triangle also.

Answer 1

Given that the two sides of a triangle have lengths a and b and the angle between them is θ.

Suppose the area of triangle be A

Thus θ = π/2 will give maximum area.

And the maximum area will be A = (1/2)ab