Answer :
Half of the perimeter multiplied by the radius of the inscribed circle is formula to find the area of a triangle, by using this you can see that the perimeter is 260 because 2340 / 9 = 260.
The perimeter of the the triangle that has an area of 2340 cm2, and an in-circle with radius of 18cm is 260 cm
Incircle:
An incircle is a circle inscribed in a triangle or other figure so as to touch (but not cross) each side.
Therefore,
radius of incircle = A / p
where
A = area of triangle
p = semi perimeter of triangle
Therefore,
18 = 2340 / p
cross multiply
18p = 2340
divide both sides by 18
p = 2340 / 18
p = 130 cm
Therefore,
perimeter = 2(p) = 2(130) = 260 cm
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