document.write( "Question 91774: PQR is an isosceles triangle such that QP=QR=13cm and the altitude PS=12cm. Find the length of PR. \n" ); document.write( "
Algebra.Com's Answer #66642 by mathispowerful(115)\"\" \"About 
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This problem can be solved by using Pythagorean-theorem twice.\r
\n" ); document.write( "\n" ); document.write( "First find QS: \"QS%5E2+=+QP%5E2+-+PS%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"QS%5E2+=+13%5E2+-+12%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"QS%5E2\" = 25\r
\n" ); document.write( "\n" ); document.write( "QS = 5\r
\n" ); document.write( "\n" ); document.write( "Then RS = QR - QS = 13 - 5 = 8\r
\n" ); document.write( "\n" ); document.write( "PR = \"sqrt%28PS%5E2+%2B+RS%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "PR = \"sqrt%28144+%2B+64%29\"\r
\n" ); document.write( "\n" ); document.write( "PR = \"sqrt%28208%29\"\r
\n" ); document.write( "\n" ); document.write( "PR = \"4%2Asqrt%2813%29\"\r
\n" ); document.write( "\n" ); document.write( "or PR = 14.42
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