Question

Select all true statements for the triangle shown.

Answer 1

A and C

Explanation:

Just did it on edge

Answer 2

True Statement are

`\sin E =(11)/(√(185))`

`\sin D =(8)/(√(185))`

Explanation:

Given:

DF = 11

EF = 8

`DE = √(185)=Hypotenuse`

In Right Angle Triangle DEF, the Sine Identity is

`\sin D = \frac{\textrm{side opposite to angle D}}{Hypotenuse}\\`

Substituting the values we get

`\sin D = (EF)/(DE)=(8)/(√(185))`

`\sin D =(8)/(√(185))` ....True

And also,

`\sin E = \frac{\textrm{side opposite to angle E}}{Hypotenuse}\\`

Substituting the values we get

`\sin E = (DF)/(DE)=(11)/(√(185))`

`\sin E =(11)/(√(185))` ....True