pls.provide me the answer

Question

.the base of an iscoceles triangle measures 80 cm and its area is 360 sq.m, find its perimeter

Answer 1

The area of an isosceles triangle is ½bh where h is the altitude or height of the triangle.

The height of the triangle is the perpendicular from the apex to the base, which bisects the base as well as bisecting the apex angle.

If area=360cm² then ½bh=360, 40h=360, h=360/40=9cm, because b=80cm.

Using Pythagoras we can find the length L of the equal sides:

L²=(½b)²+h²=40²+9²=1600+81=1681=41².

So L=41cm and the perimeter=2L+b=82+80=162cm.