Question

I need help with geometry

Answer 1

AQ = 9

Explanation:

Given a line parallel to the side of a triangle and intersecting the other 2 sides then it divides those sides proportionally , that is

`(6)/(10)` =
`(AQ)/(15)` ( cross- multiply )

10 AQ = 90 ( divide both sides by 10 )

AQ = 9

Answer 2

`(AQ + 15)/(AQ) = (10 + 6)/(6 ) \\ 6AQ + 90 = 10AQ + 6AQ \\ 10AQ = 90 \\ AQ = 9`