How do I solve this

Question

asked Nov 4, 2023 163k views

2 Answers

Oomlaut · Answer 1 · 2023-11-08T21:32:11+0000

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.

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

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

S: Solve

We know plug in the values,

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

$c = √(289 + 36 - 204 * \cos(76) )$

When solving we get

c = 12.5234

S: Solution

Round if you are needed to,

c = 12.5234