The base of the isosceles triangle is 24 cm, the lateral 13 cm. Calculate the area of this triangle.

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

Since, by the condition of the problem, we know all sides of a given triangle, it is most convenient to use Heron’s formula to calculate its area:

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 = (24 + 13 + 13) / 2 = 50/2 = 25 cm;

S = √ (25 * (25 – 24) * (25 – 13) * (25 – 13)) = √ (25 * 1 * 12 * 12) = √3600 = 60 cm2.

Answer: the area of the triangle is 60 cm2.