In an isosceles triangle, the side side is 35 cm. The base is 42 cm. Find the area of this triangle?

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

AB = BC = 35 cm.

In order to find the area of a triangle, knowing the lengths of all its sides, 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 = P / 2);

a – side AB;

b – aircraft side;

c – speaker side;

p = (35 + 35 + 42) / 2 = 112/2 = 56 cm;

S = √56 (56 – 35) (56-35) (56 – 42) = √56 21 21 14 = √345744 = 588 cm2.

Answer: the area of this triangle is 588 cm2.