SOLUTION: Triangle ABC has side a = 11, b = 14, and c = 17. Find the measure of angle B to the nearest whole number.

Algebra ->  Triangles -> SOLUTION: Triangle ABC has side a = 11, b = 14, and c = 17. Find the measure of angle B to the nearest whole number.      Log On


   



Question 1000951: Triangle ABC has side a = 11, b = 14,
and c = 17.
Find the measure of angle B to the nearest whole number.

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
hi there,
Using Cosine Rule.
Cos B = a^2 + c^2 - b^2/2ac
CosB = (11)^2 + (17)^2 - (14)^2/ (2 x 11 x 17)
Cos B = 214/374
Cos B = 0.5722
B = 55 degrees (to nearest whole number)
Hope this helps :-)