document.write( "Question 1029852: A triangular parcel of ground has sides of lengths 725ft, 650ft and 575ft. Find the measure of the largest angle. \n" ); document.write( "
Algebra.Com's Answer #644787 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! We will apply the law of cosines here. \n" ); document.write( "Realize the largest angle is always opposite the largest side. Let's call it c. Then we write (and solve for angle C) \n" ); document.write( "c^2 = a^2 + b^2 - 2ab cos C \n" ); document.write( "so that \n" ); document.write( "cos C = (c^2 - a^2 - b^2)/-2ab = (725^2 - 650^2 - 575^2)/(-2*650*575) = .3043 \n" ); document.write( "and \n" ); document.write( "angle C = 72.3 degrees \n" ); document.write( " |