The angle at the vertex opposite to the base of the isosceles triangle is 30 degrees

The angle at the vertex opposite to the base of the isosceles triangle is 30 degrees, the side of the triangle is 22. Find the area of this triangle.

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.

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

To calculate the area of a triangle, we will use the area formula through two sides and the angle between them:

S = 1/2 * a * b * sin α, where:

a, b – sides of the triangle;

α is the angle between them.

sin 30º = 1/2;

S = 1/2 * 22 * 22 * 1/2 = 121 cm2.

Answer: the area of the triangle is 121 cm2.