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SSC Sample Paper Mock Test-20 SSC CGL Tear-II Paper-1

  • question_answer
           The area of a, triangle is \[216\,\,\text{c}{{\text{m}}^{\text{2}}}\] and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is

    A) 6 cm    

    B)  12 cm

    C)  36 cm

    D)  72 cm

    Correct Answer: D

    Solution :

    Let the sides be \[3x,\]\[4x\]and\[5x\]respectively. Here,     \[{{(3x)}^{2}}+{{(4x)}^{2}}={{(5x)}^{2}}\] Hence, the triangle is right angled. \[\therefore \]      \[\frac{1}{2}\times 3x\times 4x=216\] \[\Rightarrow \]   \[6{{x}^{2}}=216\] \[\Rightarrow \]   \[{{x}^{2}}=\frac{216}{6}=36\] \[\therefore \]      \[x=\sqrt{36}=6\] Perimeter of triangle\[=(3x+4x+5x+)\,\,\text{cm}=12x\,\,\text{cm}\]\[=12\times 6=72\,\,\text{cm}\]


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