Which relationship is true for the triangle based on the Law of Sines?

Question

contestada

Respuesta :

hannjr hannjr · Answer 1 · 2021-05-04T19:29:42+02:00

Answer:

We know the angle given refers to the length of the opposite side.

Given angle = 82 and the opposite side = 34 so part of the relationship is

sin 82 / 34 = sin ( ) / ( )

We are also given one side = 27 and that side is opposite angle at C

so that part of the relationship is sin C / 27

sin 82 / 34 = sin C / 27

Answer Link

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-04-28T15:32:33+02:00

A true relationship based on the Law of Sines was found in the given triangle.

In the given triangle

∠A=82°

Length of side in front of ∠A = 34

Length of side in front of ∠C = 27

According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]

According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.

So, [tex]\frac{Sin82}{34} =\frac{SinC}{27}[/tex]

Hence, a true relationship based on the Law of Sines was found in the given triangle.

To get more about sine law visit:

https://brainly.com/question/24175301