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Mathematics

The sides of a triangle are in the ratio 7 : 5 : 3 and its perimeter is 30 cm. Find the lengths of sides.

Ratio Proportion

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Answer

Since the sides of triangle are in the ratio 7 : 5 : 3, let the sides be 7x, 5x and 3x.

Perimeter = Sum of sides of triangle

∴ 7x + 5x + 3x = 30
⇒ 15x = 30
⇒ x = 3015\dfrac{30}{15}
⇒ x = 2

∴ x = 2, 7x = 14, 5x = 10, 3x = 6.

Hence, the sides of the triangle are 14cm, 10cm, 6cm.

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