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

Answer 1

It is A i had this question and it was right

Explanation:

Answer 2

Answer: DF = 4 in

Explanation:

Here in triangle DEF,

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

Since,
`tan E = (FD)/(DE)`

⇒
`tan 45^(\circ) = (FD)/(DE)`

⇒
`1 = (FD)/(4)`

⇒
`FD = 4`

Thus, first option is correct.