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\[=(3x+4x+5x+)\,\,\text{cm}=12x\,\,\text{cm}\]\[=12\times 6=72\,\,\text{cm}\]You need to login to perform this action.
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