Question

Two sides of a triangle measure 8 cm and 12 cm. Find its area if its perimeter is 36 cm.

Answer 1

By Herons Formula

P=a+b+c

s=a+b+c

2

A=√s(s﹣a)(s﹣b)(s﹣c)

A=1√4﹣P4+4P3a+4P3b﹣4(Pa)2﹣12P2ab﹣

4 (Pb)2+8Pa2b+8Pab2=

1/4√﹣364+4·363·8+4·363·12﹣4·(36·8)2﹣12·362· 8·14·(36·12)2+8·36·82·12+8·36·8·122≈46.4758cm²

Answer 2

Answer:

area = 12√15

pereter is equal to the some of sides of triangles