Given:
A figure of a triangle.
To find:
The value of g.
Solution:
Law of Cosines:
[tex]a^2=b^2+c^2-2bccosA[/tex]
Using the Law of Cosines for the given triangle, we get
[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]
[tex]g^2=64+49-112(0.4226)[/tex]
[tex]g^2=113-47.3312[/tex]
[tex]g^2=65.6688[/tex]
Taking square root on both sides.
[tex]g=\sqrt{65.6688}[/tex]
[tex]g=8.10363[/tex]
[tex]g\approx 8.10[/tex]
Therefore, the value of g is about 8.10 units.
