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

I need help with this as soon as possible and shown work as well-example-1
User Darqer
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8.4k points

1 Answer

1 vote

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

User Alex Tonkonozhenko
by
8.0k points

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