SOLUTION: Sketch the triangle and use the Law of Cosines to find the indicated value. Round your answer to the nearest hundredth. Find the third side of a triangle with sides 19m and 16m

Algebra ->  Trigonometry-basics -> SOLUTION: Sketch the triangle and use the Law of Cosines to find the indicated value. Round your answer to the nearest hundredth. Find the third side of a triangle with sides 19m and 16m      Log On


   



Question 294119: Sketch the triangle and use the Law of Cosines to find the indicated value.
Round your answer to the nearest hundredth.
Find the third side of a triangle with sides 19m and 16m and an included angle of 43 degrees.
I calculated it like an example in the book to the third side is 13.13m but I need help to sketch the triangle.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Draw it like below.  Get a protractor and measure the 43° angle,
then measure the sides, and mark them 19 and 16, and mark the 
side you were to find x,  The one below is pretty close to the 
right dimensions according to my computer screen.  So you could 
print it out and trace it. Or you could just put your paper up 
to the screen and trace it. 



x%5E2=19%5E2%2B16%5E2-2%2A19%2A16%2Acos%28%2243%B0%22%29
x%5E2=361%2B256-608%2A0.7313537016
x%5E2=361%2B256-608%2A0.7313537016
x%5E2=172.3369494
x=sqrt%28172.3369494%29
x=13.12771684

Looks like your answer 13.13 is right on the money!

Edwin