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The perimeter of a triangle is 450 m and its sides are in ratio 12:5:13. Find thearea of the triangle |
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Answer» Perimeter = 450sides in ratio = 12:5:13suppose the sides in ratio =12x , 5x ,13x12x + 5x + 13x = 450 ( perimeter of triangle ) 30x = 450x =450/30x =15 1st side = 12x = 12*15 = 180 m2nd side = 5x = 5*15 = 75m3rd side = 13x = 13*15 = 195m find s,we know that s = a+b+c/2 ( semi - perimeter )180+75+195/2 = 450/2= 225 area of triangle = √s(s-a)(s-b)(s-c) = √ 225(225-180)(225-75)(225-195)= √ 225*45*150*30= √45562500= 6750m square ans |
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