Question

the perimeter of 2 similar triangles ABC and LMN are 60cm and 48cm respectively .If LM=8cm ,then what is the length of AB

Answer 1

Perimeter of triangle ABC = 60 cm

Perimeter of triangle LMN = 48 cm

AB = ?

LM = 8 cm

In similar triangles ABC & LMN, ratios of perimeters of the triangles are equal to the ratios of their respective sides.

AB = 10 cm

Note that the ratio of squares of sides of similar triangles are equal to the ratio of their areas. With perimeter, it does not get squared.

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