document.write( "Question 1034303: The area of a triangle is 35 square centimeters. the base is 3 centimeters greater than the height. which equation could you use to find the height of the triangle in centimeters? \n" ); document.write( "
Algebra.Com's Answer #648910 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make height = x \n" ); document.write( "Base = 3 + x \n" ); document.write( "Area of triangle = 1/2(base x height) \n" ); document.write( "35 = 1/2((3 + x)x) \n" ); document.write( "35 = 1/2(3x + x^2) \n" ); document.write( "Multiply both sides by 2 \n" ); document.write( "70 = 3x + x^ \n" ); document.write( "Rearrange in ax^2 + bx + c form \n" ); document.write( "x^2 + 3x - 70 = 0 \n" ); document.write( "Factorize \n" ); document.write( "(x + 10)(x - 7) = 0 \n" ); document.write( "x + 10 = 0 \n" ); document.write( "x = -10 (Disregard as -ve) \n" ); document.write( "x - 7) = 0 \n" ); document.write( "x = 7 \n" ); document.write( "Base = 10 cm \n" ); document.write( "Height = 7 cm. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |