Question

The following diagram shows two similar triangles, ARST - AUVW. What is the missing value of n?

Answer 1

n = 24

Explanation:

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

`(VW)/(ST)` =
`(UV)/(RS)` ( substitute values )

`(n)/(18)` =
`(16)/(12)` ( cross- multiply )

12n = 288 ( divide both sides by 12 )

n = 24