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. \[\therefore \] \[\frac{1}{2}\times 3x\times 4x=216\] \[\Rightarrow \] \[6{{x}^{2}}=216\] \[=\frac{216}{6}=36\] Perimeter of triangle \[=(3x+4x+5x)\,\,cm\] \[=12x\,\,cm\] \[=12\times 6=72\,\,cm\]You need to login to perform this action.
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