document.write( "Question 661521: One side of triangle is half the longest side. The third side is 10 feet less than the longest side. The perimeter is 45 . Find all three sides. \n" ); document.write( "
Algebra.Com's Answer #411654 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! p = x + y + z = 45 \n" ); document.write( "x = longest \n" ); document.write( "y = second = 1/2x \n" ); document.write( "z = third = x - 10 \n" ); document.write( "Substituting into perimeter \n" ); document.write( "x + (1/2x) + (x-10) = 45 \n" ); document.write( "combine like terms \n" ); document.write( "2x + 1/2x - 10 = 45 \n" ); document.write( "2.5x = 55 \n" ); document.write( "x = 22 ft \n" ); document.write( "y = (1/2)22 = 11 ft \n" ); document.write( "z = 22 - 10 = 12 ft \n" ); document.write( "Proof \n" ); document.write( "22 + 11 + 12 = 45 \n" ); document.write( " |