document.write( "Question 102316: The base of a triangle is one-third as long as its height. If the are of the triangle is 24 square meters, how long is its base? \n" ); document.write( "

Algebra.Com's Answer #74364 by Fombitz(32388) $\"\"$ $\"About$

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The area of a triangle is $\"bh%2F2\"$ where b is the base and h is the height.
\n" ); document.write( "You state that $\"b=h%2F3\"$ and that the area equals $\"24+m%5E2\"$ .
\n" ); document.write( "Then
\n" ); document.write( " $\"bh%2F2=24\"$
\n" ); document.write( " $\"%28h%2F3%29h%2F2=24\"$ Substitute for b.
\n" ); document.write( " $\"%28h%5E2%29%2F6=24\"$ Simplify.
\n" ); document.write( " $\"cross%286%29h%5E2%2Fcross%286%29+=+6%2A24\"$ Multiplicative inverse of 6.
\n" ); document.write( " $\"h%5E2=144\"$ Simplify.
\n" ); document.write( " $\"h=12+m\"$
\n" ); document.write( " $\"b=h%2F3\"$
\n" ); document.write( " $\"b=12%2F3\"$
\n" ); document.write( " $\"b=4+m\"$ \n" ); document.write( "

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