Question

In triangle FEG pointH is between points E and F Point J is between points F and G and HJ is parallel to EG EH equals 14 HF equals 26 and FG equals 60 what is FJ

Answer 1

`FJ=39\ units`

Explanation:

see the attached figure to better understand the problem

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

△FEG is similar with △FHJ -----> by AA Similarity Theorem

so

`(FE)/(FH)=(FG)/(FJ)`

we have

`FE=HF+EH=26+14=40\ units`

`FH=HF=26\ units`

`FG=60\ units`

substitute the given values

`(40)/(26)=(60)/(FJ)`

`FJ=26(60)/40\\FJ=39\ units`