Question

AAXY is similar to AABC.

Which of the following expressions could be used to determine the length of segment BC?

Answer 1

4th expression

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

`(BC)/(XY)` =
`(AB)/(AX)` ( cross- multiply )

BC × AX = XY × AB ( divide both sides by AX )

BC = XY •
`(AB)/(AX)`