The sides of a triangle measure 18 inches, 25 inches, and 36 inches. To the nearest degree, what is the measure of the largest angle?
We use trig for this.
in triangle ABC:
the largest side is opposite the largest angle.
If we use the law of cosine, and instead of using finding c, we find gamma. we set c to the largest side so that we can find c's gamma.
we then solve:
\(36=\sqrt{18^2+25^2-2\cdot 18\cdot 25\cos \left(y\right)}\)
and we get:
y is about 112.67
We use trig for this.
in triangle ABC:
the largest side is opposite the largest angle.
If we use the law of cosine, and instead of using finding c, we find gamma. we set c to the largest side so that we can find c's gamma.
we then solve:
\(36=\sqrt{18^2+25^2-2\cdot 18\cdot 25\cos \left(y\right)}\)
and we get:
y is about 112.67