document.write( "Question 726747: The hypotenuse of a right triangle is 13 inches. Find the perimeter of this triangle if its area is 30 square inches. \n" ); document.write( "
Algebra.Com's Answer #444901 by wfalbino(2)\"\" \"About 
You can put this solution on YOUR website!
using pythagorean, \"a%5E2%2Bb%5E2=h%5E2\"
\n" ); document.write( "\"a%5E2%2Bb%5E2=13%5E2\"
\n" ); document.write( "\"a%5E2%2Bb%5E2=169_in%5E2\" --> equation 1\r
\n" ); document.write( "\n" ); document.write( "area of your triangle is \"A=%281%2F2%29%28ab%29\"
\n" ); document.write( "\"30=%281%2F2%29%28ab%29\"
\n" ); document.write( "\"60_in%5E2=ab\" --> equation 2\r
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\n" ); document.write( "\n" ); document.write( "perimeter is \"P=a%2Bb%2Bh\"\r
\n" ); document.write( "\n" ); document.write( "solve for a+b\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " square a+b=\"%28a%2Bb%29%5E2\"
\n" ); document.write( " \"a%5E2%2B2ab%2Bb%5E2=%28a%5E2%2Bb%5E2%29%2B2ab\"---> equation 3
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "substitute eq 1 and eq 2 to eq3\r
\n" ); document.write( "\n" ); document.write( " \"%28a%5E2%2Bb%5E2%29%2B2ab\"=\"169%2B%282%2A60%29\"
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\n" ); document.write( "your \"%28a%2Bb%29%5E2\" is now equal to 289 \r
\n" ); document.write( "\n" ); document.write( " \"%28a%2Bb%29=sqrt%28289_in%5E2%29=17_in\" \r
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\n" ); document.write( "\n" ); document.write( "recall \"P=a%2Bb%2Bh\"\r
\n" ); document.write( "\n" ); document.write( " \"P=17%2B13=30_in\" \r
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\n" ); document.write( "\n" ); document.write( "hope it helps =)\r
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