document.write( "Question 896902: One side of triangle is 3 times the shortest side. The third side is 19 feet more than the shortest side. The perimeter is 94 . Find all three sides. \n" ); document.write( "
Algebra.Com's Answer #543899 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! P = A + B + C \n" ); document.write( "P = 94 \n" ); document.write( "C = B+19 (B is the shortest side) \n" ); document.write( "A = 3B \n" ); document.write( "Substitute the known values of A and C from the bottom equations and plug them into the top one. \n" ); document.write( "P = A + B + C \n" ); document.write( "94 = A + B + C \n" ); document.write( "94 = (3B) + B + (B+19) \n" ); document.write( "94 = 5B + 19 \n" ); document.write( "Subtract 19 from each side \n" ); document.write( "75 = 5B \n" ); document.write( "Divide each side by 5 \n" ); document.write( "15 = B \n" ); document.write( "If the shortest side is 15, then side A is 45, and side C is 34 \n" ); document.write( "A = 45 \n" ); document.write( "B = 15 \n" ); document.write( "C = 34 \n" ); document.write( "45 + 15 + 34 = 94 \n" ); document.write( " |