Question

Triangle CDE is similar to triangle FGH. Find the measure of side HF. Round your

answer to the nearest tenth if necessary.
E
23
D
19
H
G
59

Answer 1

HF ≈ 71.4

Explanation:

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

`(HF)/(EC)` =
`(FG)/(CD)` ( substitute values )

`(HF)/(23)` =
`(59)/(19)` ( cross- multiply )

19 HF = 1357 ( divide both sides by 19 )

HF ≈ 71.4 ( to the nearest tenth )