Question

Select all true statements for the triangle shown.

Answer 1

Answer:

A and C

Step-by-step explanation:

Just did it on  edge

Answer 2

Answer:

True Statement are

$\sin E =\dfrac{11}{\sqrt{185}}$

$\sin D =\dfrac{8}{\sqrt{185}}$

Step-by-step explanation:

Given:

DF = 11

EF = 8

$DE = \sqrt{185}=Hypotenuse$

In Right Angle Triangle DEF, the Sine Identity is

$\sin D = \dfrac{\textrm{side opposite to angle D}}{Hypotenuse}$

Substituting the values we get

$\sin D = \dfrac{EF}{DE}=\dfrac{8}{\sqrt{185}}$

$\sin D =\dfrac{8}{\sqrt{185}}$ ....True

And also,

$\sin E = \dfrac{\textrm{side opposite to angle E}}{Hypotenuse}$

Substituting the values we get

$\sin E = \dfrac{DF}{DE}=\dfrac{11}{\sqrt{185}}$

$\sin E =\dfrac{11}{\sqrt{185}}$ ....True