13. LMN-QMP. Find the length of LM

Ramzeek asked Dec 8, 2023

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Ramzeek asked Dec 8, 2023

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16 votes

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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