The perimeter of two similar triangles are 60cm and 48cm

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The perimeter of two similar triangles ABC and LMN are 60 cm and 48 cm respectively.If LM=8 cm then what is the length of AB? please answer this question

Answered by admin @


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.
\frac{perimeter \: of \: triangle \: abc}{perimeter \: of \: triangle \: lmn} = \frac{ab}{lm}
\frac{60}{48} = \frac{ab}{8}
ab = \frac{60}{48} \times 8 = \frac{60}{6} = 10 \: cm
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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