The perimeters of two similar triangles are 25cm and 15cm respectively – InterviewSolution

1.	The perimeters of two similar triangles are 25cm and 15cm respectively. If one side of first triangle is 9cm, what is the corresponding side of the other triangle?
Answer» Let `Delta ABC~ Delta DEF` given in such a way that perimeter of `Delta ABC=25cm`, perimeter of `Delta DEF=15 cm and AB=9cm`. Then, we to find DE. Let DE= x cm. We know that the ratio of the perimeters of two similar triangles is the same as the ratio of the perimeters of two similar triangles is the same as the ratio of their corresponding sides. `:. ("perimeter of" Delta ABC)/("perimeter of" Delta DEF)=(AB)/(DE)` `rArr (25)/(15)=(9)/(x)rArr x((9xx25)/(25))=5.4` `:. DE =5.4cm` Hence, the corresponding side of the second triangle is 5.4 cm

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