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Q.

The ratio of the sides of a triangle is 7:12:8 and the perimeter is 270 cm. Find the sides of the triangle.

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a

80 cm, 100 cm, 20 cm

b

70 cm, 120 cm, 80 cm

c

60 cm, 90 cm, 40 cm

d

30 cm, 30 cm, 30 cm

answer is C.

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Detailed Solution

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Given: Perimter = 270 cm

Ratio of sides = 7:12:8

Let the sides be 7x, 12x, and 8x respectively.

The perimeter of a triangle = Sum of all sides
270 = 7x + 12x + 8x
270 = 27x
x = 10

Therefore, the measure of all the sides will be:
7x = 7×10 = 70 cm
12x = 12× 10 = 120 cm
8x = 8 × 10 = 80 cm

Therefore, the sides of the triangle will be 70 cm, 120 cm and 80 cm.

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