Quantitative Aptitude Ques 61

Question: The perimeters of two similar triangles are 30 cm and 20 cm, respectively. If one side of the first triangle is 9 cm. Determine the corresponding side of the second triangle.

Options:

A) 13.5 cm

B) 6 cm

C) 5 cm

D) 15 cm

Show Answer

Answer:

Correct Answer: B

Solution:

  • By the property of triangle similarity, $ \frac{Perimeter,of,first,triangle}{perimeter,of,second,\text{triangle }}=\frac{Side,of,first,triangle}{Side,of,second,triangle} $ Let side of second triangle be x cm.

$ \Rightarrow $ $ \frac{30}{20}=\frac{9}{x} $
$ \Rightarrow $ $ 30\times x=9\times 20 $

$ \Rightarrow $ $ x=\frac{9\times 20}{30}=6,cm $

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