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+1 vote
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in Mathematics by (30.0k points)

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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by (130k points)
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Let the sides of the triangle be 12x cm 17x cm and 25x cm. 

Perimeter of the triangle = 540 cm 

∴ 12x + 17x + 25x = 540 

⇒ 54 x = 540 

⇒ x = 540/ 54 = 10 

∴ Sides of the triangle are (12 × 10) cm, (17 × 10) cm and (25 × 10) cm i.e., 120 cm, 170 cm and 250 cm. 

Now, suppose a = 120 cm, b = 170 cm, c = 250 cm, 

∴ s = a +b + c/ 2 =  540/ 2 cm = 270 cm

Area of the triangle

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