document.write( "Question 535168: solve triangle with A=70 degrees, b= 30, c= 51 \n" ); document.write( "
Algebra.Com's Answer #351785 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A=70 degrees, b= 30, c= 51
\n" ); document.write( "----
\n" ); document.write( "Use Law of Cosines:
\n" ); document.write( "a^2 = b^2 + c^2 -2bc*cos(A)
\n" ); document.write( "---
\n" ); document.write( "a^2 = 30^2 + 51^2 - 2*30*51*cos(70)
\n" ); document.write( "---
\n" ); document.write( "a^2 = 2454.42
\n" ); document.write( "-----
\n" ); document.write( "a = 49.54
\n" ); document.write( "----
\n" ); document.write( "Now use the Law of sines to find angle B.
\n" ); document.write( "sin(B)/b = sin(A)/a
\n" ); document.write( "sin(B)/30 = sin(70)/49.54
\n" ); document.write( "----
\n" ); document.write( "sin(B) = (30/49.54)*sin(70) = 0.5691
\n" ); document.write( "---
\n" ); document.write( "B = arcsin(0.5691) = 34.68 degrees
\n" ); document.write( "=======================================
\n" ); document.write( "Then C = 180-(A+B)
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "====================
\n" ); document.write( "
\n" );