Suppose a triangle has perimeter 2. Letx and y be the lengths of two of its sides and A its area. Show that A^2 = (x + y − 1)(1 − x)(1 − y). Use this formula to find the maximum area of a triangle with perimeter 2.
Hint: You will need to solve a maximization problem
over a closed, bounded set D. To determine D, use the triangle inequality.
Kind of lost with where to begin. Any help and/or suggestions would be great! Thanks