If ABC is a triangle with AB, BC MEASURING p,q units respectively.Find the maximum area possible for that triangleABC

Answer 1

without loss of generality, we can assume

AB < BC
Let q be the "base" of the triangle.

area = p*q*sinB
greatest area when B = 90°, or the triangle is a right triangle with legs p and q.

So, the greatest area is 1/2 pq