Multiple Choice Questions on The sides of a triangle are in the ratio 3 4 5 whose area is 216 sq cm What will be the perimeter of........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The sides of a triangle are in the ratio 3 4 5 whose area is 216 sq cm What will be the perimeter of...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    The sides of a triangle are in the ratio 3 : 4 : 5 whose area is 216 sq. cm. What will be the perimeter of this triangle? 

    58 cm

    Incorrect Answer

    64 cm

    Incorrect Answer

    28 cm

    Incorrect Answer

    72 cm

    Correct Answer
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    Explanation:

    Answer & Explanation
    72 cm
    Explanation: 
    Sides 3x, 4x, 5x
    So semi-perimeter, s = (3x+4x+5x)/2 = 6x
    Area = √s(s-a)(s-b)(s-c)
    = √6x*3x*2x*x = 6x2 cm2
    So 6x2 = 216, this gives x = 6
    Perimeter = 12x = 12*6 = 72

    By: MIRZA SADDAM HUSSAIN
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