Use GUESS method for triangles.
G: Givens
We are given a side length of 6 and 17 and a angle between that, whom is 76.
U: Unknowns
We are trying to find the missing side which is opposite of the given angle.
E: Equations,
whenever we have a non right triangle, given two side and a given angle, we can use law of cosines to find the third side.
[tex]c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(x) } [/tex]
where a and b are the given sides, and x is the angle measure.
S: Solve
We know plug in the values,
[tex]c = \sqrt{ {17}^{2} + {6}^{2} - 2(17)(6) \times \cos(76) } [/tex]
[tex]c = \sqrt{289 + 36 - 204 \times \cos(76) } [/tex]
When solving we get
[tex]c = 12.5234[/tex]
S: Solution
Round if you are needed to,
[tex]c = 12.5234[/tex]
