document.write( "Question 546343: A triangular lot has sides of 200 meters, 180 meters, and 120 meters. Find the measure of the largest angle. I tried solving this problem by using the Law of Cosine- a^2=b^2+c^2-2(b)(c)cosA : 200^2=180^2+120^2-2(180)(120)cosA: 40,000=32,400+14,400-43,200cosA: 40,000=46,800-43,200cosA: 40,000-46,800=-43,200cosA: -6800=-43,200cosA: -6800/-43,200=cosA: 17/108=cosA That's all I could do. I don' know how to find the cosine of a letter. \n" ); document.write( "
Algebra.Com's Answer #355939 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A triangular lot has sides of 200 meters, 180 meters, and 120 meters. \n" ); document.write( "Find the measure of the largest angle. I tried solving this problem by using the Law of Cosine- \n" ); document.write( "a^2=b^2+c^2-2(b)(c)cosA : \n" ); document.write( "200^2=180^2+120^2-2(180)(120)cosA: \n" ); document.write( "40,000=32,400+14,400-43,200cosA: \n" ); document.write( "40,000=46,800-43,200cosA: \n" ); document.write( "40,000-46,800=-43,200cosA: \n" ); document.write( "-6800=-43,200cosA: \n" ); document.write( "-6800/-43,200=cosA: \n" ); document.write( "17/108=cosA \n" ); document.write( "--- \n" ); document.write( "A = cos^-1(17/108) = 80.94 degrees \n" ); document.write( "======================================= \n" ); document.write( "Note: cos(A) = (b^2+c^2-a^2)/(2bc) \n" ); document.write( "--- \n" ); document.write( "cos(A) = (180^2+120^2-200^2)/(2*180*120) = 0.1574 \n" ); document.write( "--- \n" ); document.write( "A = cos^-1(0.1574) = 80.94 degrees \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----- \n" ); document.write( " |