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)![]() ![]() ![]() 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( " |