Answer:
ED = 8
DF = 8√2
Explanations:
7) The given triangle is a right - angled triangle
The side ED is the opposite because iut is directly facing the angle 45°
The side DF is the hypotenuse because it is the longest side on the triangle
The side EF is the adjacent
From the given triangle:
EF = 8
θ = 45°
We are looking for DF and ED
Note:
Cos θ = Adjacent / Hypotenuse
Cos 45 = 8 / DF
[tex]\begin{gathered} \frac{1}{\sqrt[]{2}}=\text{ }\frac{8}{DF} \\ DF\text{ = 8}\sqrt[]{2} \end{gathered}[/tex]
tan θ = Opposite / Adjacent
tan 45 = ED / 8
1 = ED / 8
8 = ED
ED = 8
