△ABC ~ △AMN and AM = 6, MB = 4, AN = 8, then what is the value of AC?

asked Jun 24, 2023 134k views

9 votes

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14 votes

Answer:

AC = 13.3

Make proportional relationship:

$\sf (AB)/(AC) = (AM)/(AN)$

Insert values

$\rightarrow \sf (10)/(AC) = (6)/(8)$

Cross multiply

$\rightarrow \sf AC = (10(8))/(6)$

Simplify

$\rightarrow \sf AC =13.3$

Cliffbarnes answered Jul 1, 2023

8.0k points

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