Question

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

Answer 1

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`