Question

III

Finding a missing side length given two similar triangles
AABC and APQR are similar. Find the missing side length.
B
AA
30
48
5
8.
А
36
СР
?
R

Answer 1

PR = 6

Explanation:

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

`(AC)/(PR)` =
`(BC)/(QR)` ( substitute values )

`(36)/(PR)` =
`(48)/(8)` = 6 ( multiply both sides by PR )

6 PR = 36 ( divide both sides by 6 )

PR = 6

Answer 2

6

Explanation:

These are similar triangles, which means the side lengths are proportional!

30:5=6, so there is a scale factor of six.

36/6 is six!