In a triangle ABC AB = AC = 5 BC = 8 Find its area.

A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.

To calculate the area of a triangle, we will use Heron’s Formula:

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

S is the area of the triangle;

p – semi-perimeter (p = a + b + c) / 2);

a – side AB;

b – aircraft side;

c – speaker side;

p = (5 + 5 + 8) / 2 = 18/2 = 9 cm;

S = √ (9 ∙ (9 – 5) ∙ (9 – 5) ∙ (9 – 8)) = √ (9 ∙ 4 ∙ 4 ∙ 1) = √144 = 12 cm2.

Answer: the perimeter of the triangle is 12 cm2.