document.write( "Question 565900: A triangle has a base of X + 6, the height is X + 8 and the area is 60. \r
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document.write( "Find X ________, Base ________ Ht _________\r
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document.write( "Please be specific \n" );
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Algebra.Com's Answer #366005 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Area of triangle = 1/2 L*H\r \n" ); document.write( "\n" ); document.write( "base of X + 6, the height is X + 8\r \n" ); document.write( "\n" ); document.write( "1/2(x+8)(x+6)= 60\r \n" ); document.write( "\n" ); document.write( "1/2(x^2+14x+48)=60\r \n" ); document.write( "\n" ); document.write( "multiply equation by 2\r \n" ); document.write( "\n" ); document.write( "x^2+14x+48=120\r \n" ); document.write( "\n" ); document.write( "x^2+14x+48-120=0\r \n" ); document.write( "\n" ); document.write( "x^2+14x-72=0\r \n" ); document.write( "\n" ); document.write( "x^2+18x-4x-72=0\r \n" ); document.write( "\n" ); document.write( "x(x+18)-4(x+18)=0\r \n" ); document.write( "\n" ); document.write( "(x+18)(x-4)=0 \n" ); document.write( "x=-18 OR 4\r \n" ); document.write( "\n" ); document.write( "ignore negative because the length and height cant be negative\r \n" ); document.write( "\n" ); document.write( "x=4 \n" ); document.write( "plug x=4 \n" ); document.write( "base = x+6 = 10 units \n" ); document.write( "height = x+8 = 12 units\r \n" ); document.write( "\n" ); document.write( "CHECK\r \n" ); document.write( "\n" ); document.write( "1/2 * 10*12= 60\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |