Question

What is the length of XZ?

Answer 1

XZ = 6

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

`(AB)/(XY)` =
`(AC)/(XZ)`, substituting

`(4)/(8)` =
`(3)/(XZ)` ( cross- multiply )

4XZ = 24 ( divide both sides by 4 )

XZ = 6

Answer 2

The answer is 6 units.

Step-by-step explanation: Since the triangles are similar, they have a common factor between the two triangles. The side four units long on the smaller triangle corresponds to the side that is eight units long on the bigger triangle by two times. So, the side that is three units long should correspond to the side of the bigger triangle by two times, which would equal six units.