Question

Triangle PQR is similar to triangle STU. Find the measure of side ST. Figures are not

drawn to scale.

Answer 1

ST = 2.6

Explanation:

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

`(ST)/(PQ)` =
`(SU)/(PR)` ( substitute values )

`(ST)/(18)` =
`(5.2)/(36)` ( cross- multiply )

36 × ST = 18 × 5.2 = 93.6 ( divide both sides by 36 )

ST = 2.6