document.write( "Question 500684: Can you help me with this word problem?? The problem is as follows, \"The area of a triangle is 27 square feet.Its height is three times the length of its base. Find the height and base of the triangle.\" Please help. Thanks. \n" ); document.write( "

Algebra.Com's Answer #338220 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The area of any triangle is 1/2 the base times the height
\n" ); document.write( "let the base = $\"+b+\"$
\n" ); document.write( "Let the height = $\"+h+\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+%281%2F2%29%2Ab%2Ah+=+27+\"$
\n" ); document.write( "(2) $\"+h+=+3b+\"$
\n" ); document.write( "-----------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+%281%2F2%29%2Ab%2A3b+=+27+\"$
\n" ); document.write( "(1) $\"+%283%2F2%29%2Ab%5E2+=+27+\"$
\n" ); document.write( "(1) $\"+b%5E2+=+%282%2F3%29%2A27+\"$
\n" ); document.write( "(1) $\"+b%5E2+=+18+\"$
\n" ); document.write( "(1) $\"+b+=+3%2Asqrt%282%29+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+h+=+3b+\"$
\n" ); document.write( "(2) $\"+h+=+3%2A3%2Asqrt%282%29+\"$
\n" ); document.write( "(2) $\"+h+=+9%2Asqrt%282%29+\"$ \n" ); document.write( "

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