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

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Question

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

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Solution

The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first triangle is 9 cm, then the corresponding side of second triangle is 5.4 cm.

Explanation:

Ratio of the perimeter of 2 similar triangles = Ratio of corresponding sides

∴ `25/15 = 9/"Side"`

⇒ Side = `(9 xx 15)/25` 

⇒ Side = 5.4 cm

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2019-2020 (March) Basic - Delhi set 1
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