Respuesta :
The approximate measure of angle G is 41.4° using laws of cosines. The correct option is C. 41.4°
From the question, we are to determine the measure of angle G
e = 12
f = 10
g = 8
From the law of cosines, we can write that
[tex]cos G = \frac{e^2 + f^2 - g^2}{2ef}[/tex]
Putting the values into the equation
[tex]cos G = \frac{12^2 + 10^2 +8^2}{2\times 12 \times 10}[/tex]
cosG = 0.75
G = cos⁻¹(0.75)
G = 41.4°
Hence, the approximate measure of angle G is 41.4°. The correct option is C. 41.4°
What are Law of cosines?
- When two sides of a triangle and their enclosed angle are known, the law of cosines can be used to compute the third side of the triangle as well as the angles of the triangle if all three sides are known.
- The law of cosines, sometimes referred to as the cosine formula, cosine rule, or al-theorem, Kashi's in trigonometry connects the lengths of a triangle's sides to the cosine of one of its angles.
To learn more on Law of cosines with the given link
https://brainly.com/question/2491835
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