The length of the third side of a triangle is 16.
How to find the length of the third side of a triangle?
A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
Use the Law of Cosine to find the third side of the triangle.
Law of Cosine is given by
[tex]$a^{2}=b^{2}+c^{2}-2 b c$[/tex]
Substituting the known values, we get
[tex]$a^{2}=12^{2}+19^{2}-2 \cdot 12 \cdot 19 \cos 56$[/tex]
By simplifying, we get
[tex]&a^{2}=505-456 \cos 56 \\[/tex]
[tex]&a^{2}=250.008 \\[/tex]
[tex]&a=15.81[/tex]
When rounded to the nearest whole number, the length of the third side is 16.
The length of the third side of a triangle is 16.
To learn more about the Law of Cosine refer to:
https://brainly.com/question/4372174
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