document.write( "Question 958804: The base of a triangle is one half as long as its height. If the area of the triangle is 144 square meters, find its height. \n" ); document.write( "

Algebra.Com's Answer #586237 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "h=height; b=base=(1/2)h; A=area=144 sq m
\n" ); document.write( ".
\n" ); document.write( " $\"A=%281%2F2%29bh\"$ Substitute for b.
\n" ); document.write( " $\"A=%281%2F2%29%281%2F2%29%28h%29%28h%29\"$
\n" ); document.write( " $\"A=%281%2F4%29h%5E2\"$ Multiply each side by 4.
\n" ); document.write( " $\"4A=h%5E2\"$ Find the square root of each side.
\n" ); document.write( " $\"sqrt%284A%29=h\"$ Put in value for A.
\n" ); document.write( " $\"sqrt%284%28144m%5E2%29%29=h\"$
\n" ); document.write( " $\"24m=h\"$ ANSWER: The height of the triangle is 24 meters. \n" ); document.write( "

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