Question

How do I solve this

Answer 1

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.

$c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(x) }$

where a and b are the given sides, and x is the angle measure.

S: Solve

We know plug in the values,

$c = \sqrt{ {17}^{2} + {6}^{2} - 2(17)(6) \times \cos(76) }$

$c = \sqrt{289 + 36 - 204 \times \cos(76) }$

When solving we get

$c = 12.5234$

S: Solution

Round if you are needed to,

$c = 12.5234$

Answer 2

Get the other side (17).