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

If we consider A’ to be maximum area of the triangle then the angle is 90° or ½ abcosq = 0.

i.e., when q =90°, the triangle has maximum area.(triangle is a right triangle)

The condition is opposite for minimum area, cosq =90° or angle q =0°.

Thanks & Regards,

Vasantha Sivaraj,

askIITians faculty