document.write( "Question 16700: The height of a triangel is 25 inches grater than its base. The area of the triangle is 625 square inches. The height of the triangle is __ inces and the base of the triange is __ inches. \n" ); document.write( "

Algebra.Com's Answer #8183 by pwac(253) $\"\"$ $\"About$

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Area of triangle given by $\"%28base%2F2%29%2Aheight\"$
\n" ); document.write( "Let base = x
\n" ); document.write( " $\"%28x%2F2%29%2A%28x%2B25%29=625\"$ multiply both sides by 2
\n" ); document.write( "x(x+25)=1250 remove bracket by multipling by x
\n" ); document.write( " $\"x%5E2%2B25x=1250\"$ subtract 1250 from both sides
\n" ); document.write( " $\"x%5E2%2B25x-1250=0\"$ a quadratic that factors easily to
\n" ); document.write( "(x-25)(x+50)=0
\n" ); document.write( "x-25=0
\n" ); document.write( "x=25
\n" ); document.write( "x+50=0
\n" ); document.write( "x=-50
\n" ); document.write( "so obviously x=25 inches is size of base.
\n" ); document.write( "Test by putting this figure into original equation
\n" ); document.write( "Pete \n" ); document.write( "

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