In triangle ABC AC = 23, BC = root of 255, angle C is 90 degrees. Find the radius of the circumscribed circle of this triangle.

univerkov | March 5, 2021 | education

First, let’s draw a triangle ABC, in which the angle C is straight.

Since the radius of the circumscribed circle of this triangle is half the hypotenuse.

To find the hypotenuse, we use the Pythagorean theorem: where AB = √ (232 + 255) = √274.

Then the radius is √274 / 2 = 8.3.

Answer: the radius of the circumscribed circle of this triangle is 8.3.

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