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# help!!

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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?

May 19, 2021

#1
+239
+4

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:

May 19, 2021

#1
+239
+4

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: