The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, then the corresponding side of the other triangle is :

6.2 cm

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3.4 cm

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5.4 cm

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8.4 cm

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Solution

The correct option is C 5.4 cm
In similar triangles, the perimeter of the triangles will be in the ratio of their corresponding sides.
The ratio of their perimeter is $\frac{p e r i m e t e r o f Δ 1}{p e r i m e t e r o f Δ 2} = \frac{25}{15}$

So, the side of triangle2 will be $\frac{9}{s i d e o f Δ 2} = \frac{25}{15} ⟹ s i d e o f Δ 2 = \frac{9 * 15}{25} = 5.4$ .

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The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, then the corresponding side of the other triangle is :

The correct option is C 5.4 cmIn similar triangles, the perimeter of the triangles will be in the ratio of their corresponding sides. The ratio of their perimeter is perimeterofΔ1perimeterofΔ2=2515 So, the side of triangle2 will be 9sideofΔ2=2515⟹sideofΔ2=9∗1525=5.4.