2006 iTest Problems/Problem 11
Problem
Find the radius of the inscribed circle of a triangle with sides of length , , and .
Solution
Since we know three sides, we can calculate the semiperimeter and area and use the results to find the radius of the incircle. The semiperimeter of the triangle is . By Heron's Formula, the area of the triangle is . Since the radius of the incircle times the semiperimeter equals the area, the radius of the incircle must be .
See Also
2006 iTest (Problems, Answer Key) | ||
Preceded by: Problem 10 |
Followed by: Problem 12 | |
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