document.write( "Question 886119: A portion of a wall is a right triangle with a height that is 3 feet more than its base. If the area of the triangle is 5 square feet, find the base. \n" ); document.write( "
Algebra.Com's Answer #535697 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A portion of a wall is a right triangle with a height that is 3 feet more than its base. If the area of the triangle is 5 square feet, find the base. \n" ); document.write( ". \n" ); document.write( "Let b = base \n" ); document.write( "then \n" ); document.write( "b+3 = height \n" ); document.write( ". \n" ); document.write( "(1/2)bh = area \n" ); document.write( "(1/2)b(b+3) = 5 \n" ); document.write( "b(b+3) = 10 \n" ); document.write( "b^2+3b = 10 \n" ); document.write( "b^2+3b-10 = 0 \n" ); document.write( "(b+5)(b-2) = 0 \n" ); document.write( "b = {-5, 2} \n" ); document.write( "throw out the negative solution (extraneous) leaving: \n" ); document.write( "b = 2 feet (base)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |