find the area of a triangle formed.

Asked by  | 13th Feb, 2014, 07:23: PM

Expert Answer:

Given that a circle of radius 9 cm is inscribed in an equilateral triangle.
 
If 'r' is the radius of the circle, then the side of the equilateral triangle is a equals 2 square root of 3 cross times r
Therefore, the side of the triangle is a equals 2 square root of 3 cross times r equals 2 square root of 3 cross times 9 equals 18 square root of 3 space c m
Area of an equilateral triangle is A equals fraction numerator square root of 3 over denominator 4 end fraction cross times a squared space s q. space u n i t s
Therfore, A r e a equals fraction numerator square root of 3 over denominator 4 end fraction cross times open parentheses 18 square root of 3 close parentheses squared equals fraction numerator square root of 3 cross times 324 cross times 3 over denominator 4 end fraction equals 243 square root of 3 space s q. c m

Answered by  | 14th Feb, 2014, 11:42: AM

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