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Sagot :
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
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
What is sine law?
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
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