document.write( "Question 608827: the height of a triangle is 10 centimeters more than its base. if the area of the triangle is 100 cm, find its base and height
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Algebra.Com's Answer #383396 by mananth(16946) $\"\"$ $\"About$

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let base = x cm
\n" ); document.write( "height = (x+10) cm\r
\n" ); document.write( "\n" ); document.write( "Area of triangle = 1/2 * base * height\r
\n" ); document.write( "\n" ); document.write( "100= 1/2 * x*(x+10)\r
\n" ); document.write( "\n" ); document.write( "multiply by 2
\n" ); document.write( " $\"200+=+x%5E2%2B10x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B10x-200=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B20x-10x-200=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x%2B20%29-12%28x%2B20%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "(x+20)(x-10)=0\r
\n" ); document.write( "\n" ); document.write( "x= -20 or 10\r
\n" ); document.write( "\n" ); document.write( "Ignore negative \r
\n" ); document.write( "\n" ); document.write( "base = 10 cm
\n" ); document.write( "height = 20 cm\r
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