The sides of a triangle are in the ratio 12:17:25 and its perimeter is 540 cm. The area is:

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A 1000 cm²
B 5000 cm²
C 9000 cm²
D 8000 cm²

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Answer: C. 9000 cm²

Let the sides be 12x, 17x and 25x. 54x = 540, so x = 10 and the sides are 120, 170 and 250 cm.
s = 540/2 = 270.
Area = √[270 × (270 - 120) × (270 - 170) × (270 - 250)] = √(270 × 150 × 100 × 20) = √81,000,000 = 9000 cm².

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The sides of a triangle are in the ratio 12:17:25 and its perimeter is 540 cm. The area is:

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