An isosceles trianglehas perimeter `30 c m`and each of the equalsides – InterviewSolution

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1.	An isosceles trianglehas perimeter `30 c m`and each of the equalsides os `12 c mdot`Find the area of thetriangle.
Answer» Here, Perimeter of the isosceles triangle `P = 30cm` So, Semi-perimeter of the triangle, `s = 30/2 = 15cm` Two sides of the triangle are `12cm`. So, `a=b = 12cm` Third side, `c = P-a-b = 30-12-12 = 6cm` Now, Area of the triangle, `A = sqrt(s(s-a)(s-b)(s-c))`(Herons formula) `A = sqrt(15(3)(3)(9)) = 9sqrt15cm^2`

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