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

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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