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

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

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Let sides of triangle be 

a = 12x, b = 17x and c = 25x 

∴ Perimeter = 12x + 17x + 25x = 540 

54x = 540 

∴ x = 

∴ x = 10 cm. 

∴ a = 12x = 12 × 10 = 120 cm. 

b = 17x = 17 × 10 = 170 cm. 

c = 25x = 25 × 10 = 250 cm.

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