Find the area of a regular triangle with side 12.

A triangle in which all three sides are equal is called a regular triangle.

Since the length of all sides of a given triangle is known, we will 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 = P / 2);

a – side AB;

b – aircraft side;

c – speaker side;

p = (12 + 12 + 12) / 2 = 36/2 = 18 cm;

S = √18 (18 – 12) (18 – 12) (18 – 12) = √18 6 6 6 = √3888 ≈ 62.35 cm2.

Answer: the area of this triangle is 62.35 cm2.