Question
The perimeter of a triangle is 30 cm and the circumference of its incircle is 88 cm . The area of the triangle is :
Answer: Option C
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Let the radius of incircle be r cm. . Then , `2 pi r = 88`
`hArr r = (88 xx 7/22 xx1/2)` = 14 .
Semi- perimeter, s = `(30/2)` cm = 15 cm.
`:.` Area of the triangle = r x s = (14 x 15)`cm^2` = 210 `cm^2`
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