As we well know from the school curriculum in geometry, in order to determine what the radius of the circle that was inscribed in the triangle is equal to, you should use the following formula:
r = S / p, where p is a semiperimeter.
Let us determine that for the value the perimeter of the triangle, whose area is 130 decimeters, will be equal, if from the condition of our problem we know for sure that the radius of the circle that is inscribed into it is 5 dm:
2 * S / r = 2 * 130/5 = 52.
Answer: The perimeter is 52 dm.
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