Since, the sides of the triangle are in ratio 3:4:5, the given triangle is a right-angled triangle. Let the three sides of the triangle be '3x' cm, '4x' cm and '5x' cm, respectively So, area of the triangle = (1/2) X (3x) X 4x = 216 Or, 6x2 = 216 Or, x2 = 36 So, x = ±6 Since, length of side cannot be negative, x = 6 So, required perimeter = 6 X (3 + 4 + 5) = 72 cm Hence, option a.
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