document.write( "Question 1034607: Hoshi is working on an art project in the shape of a triangular prism. The sides of the triangle are 2.4 feet, 1.5 feet, and 1.3 feet. Find the measures of the angles of the triangle to the nearest tenth \n" ); document.write( "
Algebra.Com's Answer #649258 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Let's use the Law of Cosines to find one angle, and use it again to find a second angle. The third angle is easy because the angles in EVERY triangle add up to 180 degrees. \n" ); document.write( "``````````````````````````````````````````````````````` \n" ); document.write( "Let's call the sides: 2.4 a, 1.5 b, and 1.3 c. And the angles A, B, and C: \n" ); document.write( "cos(C) = (a^2+b^2−c^2)/2ab \n" ); document.write( "cos(C) = (2.4^2+1.5^2-1.3^2)/[2(2.4*1.5)] = 0.8778 \n" ); document.write( "C = cos^-1(0.8778)= 28.62 degrees \n" ); document.write( "``````````````````````````````````````````````````` \n" ); document.write( "Now you have angle C. Do the same for one other angle, then add the two angles and subtract the result from 180 to get your third angle. \n" ); document.write( "John \n" ); document.write( " |