document.write( "Question 958806: 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 #586005 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "A=area=144 sq m; h=height; b=base=1/2h
\n" ); document.write( " $\"A=%281%2F2%29bh\"$ Substitute for b
\n" ); document.write( " $\"144m%5E2=%281%2F2%29%2Ah%2A%281%2F2%29h\"$
\n" ); document.write( " $\"144m%5E2=%281%2F4%29%28h%5E2%29\"$ Multiply each side by 4.
\n" ); document.write( " $\"576m%5E2=h%5E2\"$ Find the square root of each side.
\n" ); document.write( " $\"24m=h\"$ ANSWER The height is 24 meters.
\n" ); document.write( "CHECK:
\n" ); document.write( "b=1/2h=1/2(24m)=12m the base is 12 meters
\n" ); document.write( "A=1/2bh
\n" ); document.write( "144 sq m=(1/2)(12m)(24m)
\n" ); document.write( "144 sq m=144 sq m
\n" ); document.write( " \n" ); document.write( "

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