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13. LMN-QMP. Find the length of LM

13. LMN-QMP. Find the length of LM-example-1

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Answer:

LM = 18

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is


(LM)/(QM) =
(LN)/(QP) ( substitute values )


(LM)/(12) =
(15)/(10) ( cross- multiply )

10 LM = 180 ( divide both sides by 10 )

LM = 18

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