KatlynTomi
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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.
DF=2 in.
EF=4 in.
EF=7 in.

due in 15 minutes pls help!

Respuesta :

semsee45

Answer:

DF = 4 in

Step-by-step explanation:

As m∠E = 45° then DE = DF

Therefore, as DE = 4in, DF = 4 in

As DE = 4in  and  DF = 4 in,

then EF = [tex]\sqrt{DE^2+DF^2} =\sqrt{4^2+4^2} =4\sqrt{2} \ \textsf{in}[/tex]

Ver imagen semsee45

[tex]\\ \tt\hookrightarrow tan45=\dfrac{DF}{DE}[/tex]

[tex]\\ \tt\hookrightarrow 1=\dfrac{DF}{4}[/tex]

[tex]\\ \tt\hookrightarrow DF=4in[/tex]

Option A is correct

Ver imagen Аноним

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