+0  
 
0
80
2
avatar+862 

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

Best Answer 

 #1
avatar+237 
+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:

y is about 112.67

 May 19, 2021
 #1
avatar+237 
+4
Best Answer

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

BWStar May 19, 2021
 #2
avatar+862 
+2

Oh I see, thanks!

AnimalMaster  May 19, 2021

21 Online Users

avatar