document.write( "Question 162999: Base of a triangle is 7cm greater than the height. The area is 22cm². Find the height and length of the base. Height____ base _____.
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Algebra.Com's Answer #120130 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Remember: $\"Area%5BT%5D=%281%2F2%29bh\"$ --------------> working eqn
\n" ); document.write( "But as per condition, $\"b=h%2B7cm\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"A%5BT%5D=%281%2F2%29%28h%2B7%29%28h%29\"$
\n" ); document.write( " $\"22cm%5E2=%281%2F2%29%28h%5E2%2B7h%29\"$ , cross multiply & transpose
\n" ); document.write( " $\"22%2A2=h%5E2%2B7h\"$
\n" ); document.write( " $\"h%5E2%2B7h-44=0\"$
\n" ); document.write( "factor out being a perfect square:
\n" ); document.write( " $\"%28h%2B11%29%28h-4%29=0\"$
\n" ); document.write( " $\"h=-11\"$ , No good
\n" ); document.write( " $\"highlight%28h=4cm%29\"$ ANSWER
\n" ); document.write( "so, $\"highlight%28b=4%2B7=11cm%29\"$
\n" ); document.write( "Check via working eqn,
\n" ); document.write( " $\"22cm%5E2=%281%2F2%29%2811%29%284%29\"$
\n" ); document.write( " $\"22cm%5E2=%281%2Fcross%282%29%29%28cross%2844%2922%29\"$
\n" ); document.write( " $\"22cm%5E2=22cm%5E2\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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