Question

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!

Answer 1

`\\ \tt\hookrightarrow tan45=(DF)/(DE)`

`\\ \tt\hookrightarrow 1=(DF)/(4)`

`\\ \tt\hookrightarrow DF=4in`

Option A is correct

Answer 2

DF = 4 in

Explanation:

As m∠E = 45° then DE = DF

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

As DE = 4in and DF = 4 in,

then EF =
`√(DE^2+DF^2) =√(4^2+4^2) =4√(2) \ \textsf{in}`