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# triangle problem

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What is the radius of the circle inscribed in triangle ABC if AB = 15, AC = 40, and BC = 50?

Jul 19, 2022

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The radius of the circle is $$\text{Area} \over \text{semiperimeter}$$

The semiperimeter is half of the perimeter, and find the area using Heron's formula: $$\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}$$, where s is the semiperimeter.

Jul 19, 2022