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3 years ago

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Mathematics

1 answer:

saw5 [17]3 years ago

3 0

Answer:

$FJ=35\ units$

Step-by-step explanation:

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

Triangles FEG and FHJ are similar by AA Similarity Theorem

see the attached figure to better understand the problem

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

we have

$FG=50\ units\\FH=28\ units\\FE=HF+EH=28+12=40\ units$

substitute

$\frac{FJ}{50}=\frac{28}{40}$

$FJ=\frac{28}{40}(50)$

$FJ=35\ units$

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