ABC NLM and ar ABC ar NLM 4 9 If AB 6 cm BC 8 cm and AC 12 cm then ML is equal to ........

Quantitative Aptitude (CGL) Geometry

$\bigtriangleup$ ABC $\sim \bigtriangleup$ NLM and ar( $\bigtriangleup$ ABC): ar( $\sim \bigtriangleup$ NLM) = 4 : 9. If AB = 6 cm, BC = 8 cm and AC =12 cm, then ML is equal to:

This questions was previously asked in

SSC CGL 13 June 2019 Shift-2

View All ssc Previous Year Papers

18 cm

9 cm

6 cm

12 cm

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Explanation:

Theorem: If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their
corresponding sides. This proves that the ratio of areas of two similar triangles is proportional to the squares of the corresponding
sides of both the triangles.
As $\bigtriangleup$ ABC $\sim \bigtriangleup$ NLM

So , LM =12 cm
So , the answer would be option d)12 c