document.write( "Question 952640: Calculate the area of triangle QRS with altitude ST, given Q (0, 5), R (−5, 0), S (−3, 4), and T (−2, 3). \n" ); document.write( "

Algebra.Com's Answer #582260 by Fombitz(32388) $\"\"$ $\"About$

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Find QR.
\n" ); document.write( " $\"b%5E2=%280-5%29%5E2%2B%28-5-0%29%5E2\"$
\n" ); document.write( " $\"b%5E2=25%2B25\"$
\n" ); document.write( " $\"b%5E2=50\"$
\n" ); document.write( " $\"b=5sqrt%282%29\"$
\n" ); document.write( "Find ST.
\n" ); document.write( " $\"h%5E2=%28-3-%28-2%29%29%5E2%2B%284-3%29%5E2\"$
\n" ); document.write( " $\"h%5E2=1%2B1\"$
\n" ); document.write( " $\"h%5E2=2\"$
\n" ); document.write( " $\"h=sqrt%282%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"A=%281%2F2%29bh\"$
\n" ); document.write( " $\"A=%281%2F2%29%285sqrt%282%29%29%28sqrt%282%29%29\"$
\n" ); document.write( " $\"A=5\"$
\n" ); document.write( " \n" ); document.write( "

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