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.
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