document.write( "Question 602060: The area of a triangle is 35 square inches. The height of the triangle is 2 inches less than the base. What are the base and height of the triangle? Please help. I am so stuck! \n" ); document.write( "

Algebra.Com's Answer #380106 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+A+=+35+\"$ in2
\n" ); document.write( " $\"+A+=+%281%2F2%29%2Ab%2Ah+\"$
\n" ); document.write( " $\"+35+=+%281%2F2%29%2Ab%2Ah+\"$
\n" ); document.write( "(1) $\"+b%2Ah+=+70+\"$
\n" ); document.write( "given:
\n" ); document.write( "(2) $\"+h+=+b+-+2+\"$ in
\n" ); document.write( "Substitute this into (1)
\n" ); document.write( "(1) $\"+b%2A%28+b+-+2+%29+=+70+\"$
\n" ); document.write( "(1) $\"+b%5E2+-+2b+=+70+\"$
\n" ); document.write( "Complete the square
\n" ); document.write( "(1) $\"+b%5E2+-+2b+%2B+%28-2%2F2%29%5E2+=+70+%2B+%28-2%2F2%29%5E2+\"$
\n" ); document.write( "(1) $\"+b%5E2+-+2b+%2B+1+=+70+%2B+1+\"$
\n" ); document.write( "(1) $\"+%28+b+-+1+%29%5E2+=+71+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "(1) $\"+b+-+1+=+sqrt%2871%29+\"$
\n" ); document.write( "(1) $\"+b+=+1+%2B+sqrt%2871%29+\"$ in
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+h+=+b+-+2+\"$
\n" ); document.write( "(2) $\"+h+=+-1+%2B+sqrt%2871%29+\"$ in
\n" ); document.write( "check the answers:
\n" ); document.write( " $\"+sqrt%2871%29+=+8.4261+\"$
\n" ); document.write( "(1) $\"+b+=+1+%2B+8.4261+\"$
\n" ); document.write( "(1) $\"+b+=+9.4261+\"$
\n" ); document.write( "{2) $\"+h+=+-1+%2B+8.4261+\"$
\n" ); document.write( "(2) $\"+h+=+7.4261+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+A+=+%281%2F2%29%2Ab%2Ah+\"$
\n" ); document.write( " $\"+A+=+.5%2A9.4261%2A7.4261+\"$
\n" ); document.write( " $\"+A+=+34.9996+\"$
\n" ); document.write( "This looks close enough \n" ); document.write( "

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