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3 years ago

Find y. A. 63–√ B. 33–√ C. 23√3 D. 3

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

5 0

<h3>Answer: D. 3</h3>

This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.

Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)

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3 years ago

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3 years ago

Read 2 more answers

saw5 [17]

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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4 years ago