document.write( "Question 1112168: Given that the perimeter of a triangle is 180 in. If the angles of the triangle are in the ration 5:6:7. Determine the sides of the triangle. \n" ); document.write( "
Algebra.Com's Answer #727174 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Given that the perimeter of a triangle is 180 in. If the angles of the triangle are in the ration 5:6:7. Determine the sides of the triangle. \n" ); document.write( "--------------- \n" ); document.write( "The angles are 50, 60 & 70 degs \n" ); document.write( "--- \n" ); document.write( "A = 50 \n" ); document.write( "B = 60 \n" ); document.write( "C = 70 \n" ); document.write( "---- \n" ); document.write( "Pick a number for one of the sides. \n" ); document.write( "eg, side a = 5 \n" ); document.write( "Find sides b & c: \n" ); document.write( "a/sin(A) = b/sin(B) = c/sin(C) \n" ); document.write( "5/sin(50) = b/sin(60) \n" ); document.write( "b = (5*sqrt(3)/2)/sin(50) \n" ); document.write( "b =~ 5.6526 \n" ); document.write( "------------- \n" ); document.write( "5/sin(50) = c/sin(70) \n" ); document.write( "c = 5*sin(70)/sin(50) \n" ); document.write( "c =~ 6.1334 \n" ); document.write( "------------ \n" ); document.write( "a + b + c =~ 16.786 \n" ); document.write( "Adjust to make the sum 18 \n" ); document.write( "a = 5*(18/16.786) = 5.3616 \n" ); document.write( "b = 5.6526*(18/16.786) = 6.0614 \n" ); document.write( "c = 6.1334*(18/16.786) = 6.577 \n" ); document.write( "============== \n" ); document.write( " \n" ); document.write( " |