Question

I need help with this as soon as possible and shown work as well

Answer 1

Answer: EF = 6.5 FG = 5.0

Explanation:

Since this is not a right triangle, you must use Law of Sin or Law of Cos

They have given enough info for law of sin :
`(a)/(sin A) =(b)/(sinB)`

The side of the triangle is related to the angle across from it.

`(a)/(sin A) =(b)/(sinB)` >formula

`(FG)/(sin E) =(EG)/(sinF)` >equation, substitute

`(FG)/(sin 39) =(7.9)/(sin86)` >multiply both sides by sin 39

`FG =(7.9)/(sin86)sin39` >plug in calc

FG = 5.0

<G = 180 - 86 - 39 >triangle rule

<G = 55

`(a)/(sin A) =(b)/(sinB)` >formula

`(EF)/(sin G) =(EG)/(sinF)` >equation, substitute

`(EF)/(sin 55) =(7.9)/(sin86)` >multiply both sides by sin 55

`EF =(7.9)/(sin86)sin55` >plug in calc

EF = 6.5