A triangle with a radius of 25 cm is inscribed in a circle, one side of which is the diameter.

A triangle with a radius of 25 cm is inscribed in a circle, one side of which is the diameter. The other side is 14 cm. Find the area of the triangle

If the side of a triangle is the diameter of the circumscribed circle, then this triangle is right-angled and the diameter is the hypotenuse. Therefore, we find the length of the hypotenuse: 25 * 2 = 50.

Let’s use the Pythagorean theorem and find the third side of the triangle. Let’s introduce an unknown variable x, denoting the unknown side by it: x ^ 2 = 50 ^ 2 – 14 ^ 2 = 2500 – 196 = 2304.

Find x: x = √2304 = 48.

Now we need to find the area of the triangle: S = 48 * 50 * 14 = 33600 cm2.

Answer: 33600 cm2.