Question 1131836

solve triangle with: 
{{{b=14.4 }}}
{{{c=7.7}}}
{{{B=146.4}}}° 



use the Law of Sines to find angle {{{C}}}

{{{c/sin(C)=b/sin(B)}}}

{{{7.7/sin(C)=14.4/sin(146.4)}}}
{{{C=sin^-1( (7.7 * sin( 146.4 )) / 14.4 ) }}}
{{{C=sin^-1( (7.7 * 0.553392) / 14.4 ) }}}
{{{C=sin^-1(4.2611184/14.4)}}}
{{{C=sin^-1(0.295911)}}}
{{{C=17.21}}}°

and use the sum of the angles in triangle to find angle {{{A}}}

{{{A=180-(146.4+17.21)}}}°
{{{A=180-163.61}}}°
{{{A=16.39}}}°

use the Law of sines to find side {{{a}}}

{{{a/sin(16.39)=14.4/sin(146.4)}}}
{{{a/0.282174=14.4/0.553392}}}
{{{a/0.282174=26.0213374967473328}}}
{{{a=26.0213374967473328*0.282174}}}
{{{a=7.3425}}}
{{{a=7.34}}}