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netineya [11]
3 years ago
6

In △FEG , point H is between points E and F, point J is between points F and G, and HJ¯¯¯¯¯∥EG¯¯¯¯¯ .

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

FJ=39\ units

Step-by-step 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

\frac{FE}{FH}=\frac{FG}{FJ}

we have

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

FH=HF=26\ units

FG=60\ units

substitute the given values

\frac{40}{26}=\frac{60}{FJ}

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

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