The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 36 cm. What is its area?

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A 144 cm²
B 36 cm²
C 54 cm²
D 72 cm²

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Answer: C. 54 cm²

Let the sides be 3x, 4x and 5x. 12x = 36, so x = 3 and the sides are 9, 12 and 15 cm.
s = 18 cm. Area = √(18 × 9 × 6 × 3) = √2916 = 54 cm².

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The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 36 cm. What is its area?

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