Question

In the diagram below, ST is parallel to PQ. If SR = 2.4, PQ = 1.8, RQ = 3,

and ST 1.2, find the length of PR. Figures are not necessarily drawn to scale.
PR=

Answer 1

PR = 3.6

Explanation:

Triangles PQR and STR are similar figures. PQ is the base of triangle PQR just like ST is of triangle STR. PR is parallel to SR and RQ is parallel to RT.

`(Side PQ)/(Side ST) =(Side PR)/(Side SR)`

=
`(1.8)/(1.2) = (PR)/(2.4)`

Cross-multiplying:

=(1.8)(2.4) = (1.2)(PR)

= PR =
`((1.8)(2.4))/((1.2))`

= PR = 3.6