The side of an isosceles triangle is 85 cm and the base is 150 cm Find the area of this triangle.

An isosceles triangle is a triangle in which the sides are equal:

AB = BC = 85 cm.

In order to find the area of a triangle, we use Heron’s formula:

S = √p (p – a) (p – b) (p – c); Where:

S is the area of the triangle;

p – semi-perimeter (p = (AB + BC + AC) / 2);

a – side AB;

b – aircraft side;

c – speaker side.

p = (85 + 85 + 150) / 2 = 320/2 = 160;

S = √ (160 ∙ (160 – 85) ∙ (160 – 85) ∙ (160 – 150)) = √ (160 ∙ 75 75 10) = √9000000 = 3000 cm2.

Answer: the area of the triangle is 3000 cm2.