SOLUTION: Using the Angle-Angle-Side triangle, A= {{{ 23 }}}°, B={{{ 48 }}}°, a={{{ 14 }}}cm. What is the value for angle C, b, and c? A.) 109; 26.63cm; 33.88cm B.) 109; 21.48cm; 40.11c

Algebra ->  Test -> SOLUTION: Using the Angle-Angle-Side triangle, A= {{{ 23 }}}°, B={{{ 48 }}}°, a={{{ 14 }}}cm. What is the value for angle C, b, and c? A.) 109; 26.63cm; 33.88cm B.) 109; 21.48cm; 40.11c      Log On


   



Question 1068425: Using the Angle-Angle-Side triangle, A= +23+°, B=+48+°, a=+14+cm.
What is the value for angle C, b, and c?
A.) 109; 26.63cm; 33.88cm
B.) 109; 21.48cm; 40.11cm
C.) 19; 26.63cm; 33.88cm
D.) 19; 21.48cm; 40.11cm

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the law of sines,
sin%28A%29%2Fa=sin%28B%29%2Fb
sin%2823%29%2F14=sin%2848%29%2Fb
b=14%28sin%2848%29%2Fsin%2823%29%29
b=26.63cm
.
.
A%2BB%2BC=180
23%2B48%2BC=180
C=109
.
.
sin%2823%29%2F14=sin%28109%29%2Fc
c=14%28sin%28109%29%2Fsin%2823%29%29
c=33.878