Question

What is the length of segment R S?

Answer 1

C

Explanation:

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

`(RS)/(FG)` =
`(ST)/(GH)` ( substitute values )

`(RS)/(21)` =
`(4)/(12)` ( cross- multiply )

12 RS = 84 ( divide both sides by 12 )

RS = 7 cm