SOLUTION: In the triangle ABC, side a=7, b=6, and c=8. Find angle B to the nearest degree?

Algebra ->  Triangles -> SOLUTION: In the triangle ABC, side a=7, b=6, and c=8. Find angle B to the nearest degree?      Log On


   

Question 299456: In the triangle ABC, side a=7, b=6, and c=8. Find angle B to the nearest degree?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
In the triangle ABC, side a=7, b=6, and c=8. Find angle B to the nearest degree?

Cos%28B%29=%28a%5E2%2Bc%5E2-b%5E2%29%2F%282ac%29
Cos%28B%29=%28a%5E2%2Bc%5E2-b%5E2%29%2F%282%2Aa%2Ac%29
Cos%28B%29=%287%5E2%2B8%5E2-6%5E2%29%2F%282%2A7%2A8%29
Cos%28B%29=%2849%2B64-36%29%2F112
Cos%28B%29=77%2F112
Cos%28B%29=11%2F16
Cos%28B%29=0.6875
B=%2246.56746344%B0%22
To the nearest degree:
B=%2247%B0%22
Edwin