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How do I solve this

How do I solve this-example-1
User Nwalton
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8.1k points

2 Answers

5 votes
Get the other side (17).
User Nav Ali
by
8.3k points
6 votes

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

User Oomlaut
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