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On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° .


What statement is true about the triangle?


DF=4 in.

EF=4 in.

DF=2 in.

EF=7 in.

Verified Answer :

Answer: DF = 4 in

Step-by-step explanation:

Here in triangle DEF,

In which DE = 4, \(m\angle D=90^{\circ}\) , and \(m\angle E=45^\circ}\)

Since, \(tan E = \frac{FD}{DE}\)

⇒ \(tan 45^{\circ} = \frac{FD}{DE}\)

⇒  \(1 = \frac{FD}{4}\)

⇒  \(FD = 4\)

Thus, first option is correct.

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keilahkimbrough8

Answer:

It is A i had this question and it was right

Step-by-step explanation:

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