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Can someone please help me with this?

In △FEG , point H is between points E and F, point J is between points F and G, and HJ¯¯¯¯¯∥EG¯¯¯¯¯ .EH=8 , HF=12 , and FG=30 .What is FJ ?Enter your answer in the box.FJ =

2 Answers

3 votes

Answer:

18 from k12

Explanation:

User Sam Ellis
by
7.6k points
3 votes

Answer:


FJ=18\ 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=12+8=20\ units


FH=HF=12\ units


FG=30\ units

substitute the given values


(20)/(12)=(30)/(FJ)


FJ=12(30)/20\\FJ=18\ units

Can someone please help me with this? In △FEG , point H is between points E and F-example-1
User Prateek Ratnaker
by
7.2k points