Question

Triangles P and Q are similar.
Find the lengths of the sides:

Answer 1

XZ = 36 cm, BC = 12 cm

Explanation:

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

`(XZ)/(AC)` =
`(XY)/(AB)` , substitute values

`(XZ)/(9)` =
`(16)/(4)` = 4 ( multiply both sides by 9 )

XZ = 36 cm

and

`(BC)/(YZ)` =
`(AB)/(XY)`

`(BC)/(48)` =
`(4)/(16)` ( cross- multiply )

16BC = 192 ( divide both sides by 16 )

BC = 12 cm