SOLUTION: If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the largest side of the triangle is ?

Algebra ->  Surface-area -> SOLUTION: If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the largest side of the triangle is ?      Log On


   

Question 891198: If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the largest side of the triangle is ?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Law of cosines:
c%5E2%22%22=%22%22a%5E2%2Bb%5E2-2%2Aa%2Ab%2Acos%28C%29
c%5E2%22%22=%22%22%281.5%29%5E2%2B%280.5%29%5E2-2%2A%281.5%29%2A%280.5%29%2Acos%28%22120%B0%22%29%29
c%5E2%22%22=%22%223.25
c%22%22=%22%22sqrt%283.25%29
c%22%22=%22%221.802775638
To nearest tenth,
c%22%22=%22%221.8
Edwin