1970 AHSME Problems/Problem 27
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Problem
In a triangle, the area is numerically equal to the perimeter. What is the radius of the inscribed circle?
Solution
One of the most common formulas involving the inradius of a triangle is , where is the area of the triangle, is the inradius, and is the semiperimeter.
The problem states that . This means , or , which is option .
See also
1970 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 26 |
Followed by Problem 28 | |
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