Question
Find the area of triangle having sides in the ratio
2:4:5 & the perimeter of the triangle is 22 cmSolution
As sides are in ratio of 2:4:5 so perimeter of this triangle = 2K+4K+5K = 22 Or 11K = 22 or K = 2 So, sides are 4cm, 8cm & 10cm. Here s = semi perimeter = (4 + 8 + 10)/2 = 22/2 = 11 cm So area of this triangle = √(11 (11 - 4)(11 - 8)(11 - 10)) = √(11× 7 × 3 × 1) = √231 cm 2
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