Find the radius of the inscribed (r) and inscribed (R) circles, for a triangle with sides 13,14,15 cm.

univerkov | August 13, 2021 | education

By Heron’s theorem, we determine the area of the triangle ABC.

The semi-perimeter of the ABC triangle is: p = (13 + 14 + 15) / 2 = 21 cm.

Then Sас = √21 * (21 – 13) * (21 – 14) * (21 – 15) = √7056 = 84 cm2.

Then R = AB * BC * AC / 4 * Savs = 13 * 14 * 15/4 * 84 = 8.125 cm.

r = Savs / p = 84/21 = 4 cm.

Answer: The radii of the circles are 4 cm and 8.125 cm.

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