# The side of an isosceles triangle is 10 and its base is 12. Find the perimeter and area of the triangle.

March 29, 2021 | education

| In an isosceles triangle, the two sides are equal to each other. By condition, the base is 12, the sides are 10, we find the perimeter: P = 10 + 10 + 12 = 32.

The area of any triangle can be found by Heron’s formula: S = √p * (p-a) * (p-b) * (p-c), where p is a semiperimeter, a, b and c are the lengths of three sides.

Find the semi-perimeter: p = P / 2 = 32/2 = 16.

Find the area: S = √16 * (16-10) * (16-10) * (16-12) = √16 * 6 * 6 * 4 = 4 * 6 * 2 = 48.