Question

A. 5.1
B. 5.2
C. 14.3
D. 14.4

Answer 1

C

Explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally.

BE is such a line , then

`(AE)/(ED)` =
`(AB)/(BC)` ( substitute values )

`(9)/(5)` =
`(9.2)/(BC)` ( cross- multiply )

9 BC = 46 ( divide both sides by 9 )

BC ≈ 5.1 ( to the nearest tenth )

Then

AC = AB + BC = 9.2 + 5.1 = 14.3