document.write( "Question 1059693: Help?\r
\n" ); document.write( "\n" ); document.write( "https://gyazo.com/db9e6eb743004e751af197ae47cb9633 \n" ); document.write( "

Algebra.Com's Answer #674781 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "1. $\"PQ%5E2=PR%5E2%2BQR%5E2\"$
\n" ); document.write( "2. $\"SQ%5E2%2BRS%5E2=QR%5E2\"$
\n" ); document.write( "3. $\"PR%5E2=RS%5E2%2BPS%5E2\"$
\n" ); document.write( " $\"PQ=QS%2BSP=6%2B2=8\"$
\n" ); document.write( "Substituting into 1, 2, and 3,
\n" ); document.write( " $\"8%5E2=PR%5E2%2BQR%5E2\"$
\n" ); document.write( " $\"PR%5E2%2BQR%5E2=64\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"6%5E2%2BRS%5E2=QR%5E2\"$
\n" ); document.write( " $\"36%2BRS%5E2=QR%5E2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"PR%5E2=RS%5E2%2B2%5E2\"$
\n" ); document.write( " $\"PR%5E2=RS%5E2%2B4\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"%28RS%5E2%2B4%29%2B%2836%2BRS%5E2%29=64\"$
\n" ); document.write( " $\"2RS%5E2%2B40=64\"$
\n" ); document.write( " $\"2RS%5E2=24\"$
\n" ); document.write( " $\"RS%5E2=12\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"RS%5E2=12\"$
\n" ); document.write( " $\"PR%5E2=12%2B4\"$
\n" ); document.write( " $\"PR%5E2=16\"$
\n" ); document.write( " $\"PR=4\"$
\n" ); document.write( "True \n" ); document.write( "

\n" );