document.write( "Question 744750: THE HEIGHT OF A TRIANGLE IS 3 METERS GREATER THAN THE BASE. THE AREA OF A TRIANGLE IS 35 SQUARE METERS. FIND THE LENGTH OF THE BASE AND THE HEIGHT OF THE TRIANGLE. \n" ); document.write( "
Algebra.Com's Answer #453583 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Represent the height as (x + 3) and the base as x. \n" ); document.write( "Area of triangle = 1/2 (base x height) = 35 m^2 \n" ); document.write( "1/2 (x times (x + 3)) = x^2 + 3/2. \n" ); document.write( "x^2 + 3/2 = 35 m^2 \n" ); document.write( "x^2 + 3x = 35 x 2 \n" ); document.write( "x^2 + 3x = 70 \n" ); document.write( "x^2 + 3x - 70 = 0 \n" ); document.write( "(x + 10)(x - 7)\r \n" ); document.write( "\n" ); document.write( "The answer is x = 7 \n" ); document.write( "Height = 10m and base = 7m \n" ); document.write( " |