Answer:
[tex]C=78.28^{\circ \:}[/tex]
Step-by-step explanation:
We are given a triangle
whose sides are
a=12
b=8
c=13
Since, c is largest among them
So, angle C must be largest angle
we can find angle C
we can use law of cosine formula
[tex]cos(C)=\frac{a^2+b^2-c^2}{2ab}[/tex]
now, we can plug values
[tex]cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}[/tex]
[tex]cos(C)=\frac{13}{64}[/tex]
now, we can find angle
we get
[tex]C=78.28^{\circ \:}[/tex]
