document.write( "Question 86607This question is from textbook intermediate algebra
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document.write( ": The base of a triangle is 5 meters more than its height, and its area is 12 square meters. Find the base and the height of the triangle. [area =1/2*base*height] \n" );
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Algebra.Com's Answer #62641 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The base of a triangle is 5 meters more than its height, and its area is 12 square meters. Find the base and the height of the triangle. [area =1/2*base*height] \n" ); document.write( "-------------- \n" ); document.write( "Let the height be \"x\" meters. \n" ); document.write( "Then the base is \"x+5\" meters. \n" ); document.write( "EQUATION: \n" ); document.write( "[area =1/2*base*height] \n" ); document.write( "12 = (1/2)*(x+5)*x \n" ); document.write( "24 = x^2+5x \n" ); document.write( "x^2+5x-24=0 \n" ); document.write( "(x+8)(x-3)=0 \n" ); document.write( "Positive answer: x=3 meters (height) \n" ); document.write( "x+5 = 8 meters (base) \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |