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

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let the common ratio between the sides of the given triangle be  x.

therefore, the side of the triangle will be 12x, 17x, and 25x.

perimeter of this triangle = 540 cm

12x  + 17x  + 25x  = 540 cm

54x  = 540 cm

x  = 10 cm

sides of the triangle will be 120 cm, 170 cm, and 250 cm.

by heron’s formula,

the area of this triangle is 9000 cm2.

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step-by-step explanation: