document.write( "Question 157320: the base of a triangle is 5cm greater than the height. The area is 18cm^2. find the height and length of the base \n" ); document.write( "

Algebra.Com's Answer #115971 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The area for a triangle is,
\n" ); document.write( " $\"A%5Bt%5D=%281%2F2%29bh\"$
\n" ); document.write( "where b is the base and h is the height.
\n" ); document.write( " $\"A%5Bt%5D=%281%2F2%29bh=18\"$
\n" ); document.write( " $\"%281%2F2%29%28h%2B5%29h=18\"$
\n" ); document.write( " $\"%28h%2B5%29h=36\"$
\n" ); document.write( " $\"h%5E2%2B5h=36\"$
\n" ); document.write( " $\"h%5E2%2B5h-36=0\"$
\n" ); document.write( " $\"%28h%2B9%29%28h-4%29=0\"$
\n" ); document.write( "Looks like two solutions, let's check.
\n" ); document.write( " $\"h%2B9=0\"$
\n" ); document.write( " $\"h=-9\"$
\n" ); document.write( "A negative solution would not make sense.
\n" ); document.write( " $\"h-4=0\"$
\n" ); document.write( " $\"highlight%28h%29=4\"$
\n" ); document.write( " $\"highlight%28b%29=h%2B5=5%2B4=9\"$ \n" ); document.write( "

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