The sides of an isosceles triangle are 25 and the base is 30. Find the radius of the inscribed circle of the triangle.

To find out the required radius of a circle inscribed in a specified isosceles triangle, we use the formula: r = S / p = 0.5b * √ ((2a – b) / (2a + b)), where b is the length of the base (b = 30 units. ); a – the length of the side (a = 25 units).
Let’s calculate: r = 0.5b * √ ((2a – b) / (2a + b)) = 0.5 * 30 * √ ((2 * 25 – 30) / (2 * 25 + 30)) = 7 , 5 units.
Answer: The radius of the circle inscribed in the indicated isosceles triangle is 7.5 units.