Find the missing length. The triangles are similar. Can someone help me? Need to show the work

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28 votes

Find the missing length. The triangles are similar.

Can someone help me?

Need to show the work

2.7k points

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28 votes

Answer:

AB =
(108)/(7)

Explanation:

Δ ALM and Δ ACB are similar, then the ratios of corresponding sides are equal, that is

(AM)/(AB) =
(AL)/(AC) , substitute values

(12)/(AB) =
(14)/(18) =
(7)/(9) ( cross- multiply )

7AB = 108 ( divide both sides by 7 )

AB =
(108)/(7) ( = 15
(3)/(7) )

Pietro Biroli answered Jul 13, 2022

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