document.write( "Question 965851: Find the lengths of the sides of a triangle if the hypotenuse is 10 centimeters longer than the shorter leg and 5 centimeters longer than the longer leg. i am having a hard time with the '5 centimeters longer than the longer leg' part. Thank you in advance. \r
\n" ); document.write( "\n" ); document.write( "Shorter leg = x
\n" ); document.write( "Hypotenuse = x+10
\n" ); document.write( "Longer leg = ?
\n" ); document.write( "

Algebra.Com's Answer #590325 by macston(5194)\"\" \"About 
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.
\n" ); document.write( "c=hypotenuse; a=shorter leg=c-10cm; b=longer leg=c-5cm
\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
\n" ); document.write( "\"%28c-10cm%29%5E2%2B%28c-5cm%29%5E2=c%5E2\"
\n" ); document.write( "\"%28c%5E2-20c%2B100cm%29%2B%28c%5E2-10c%2B25%29=c%5E2\" Subtract c^2 from each side.
\n" ); document.write( "\"c%5E2-30C%2B125=0\"
\n" ); document.write( "\"%28c-5%29%28c-25%29=0\"
\n" ); document.write( "\"c-5=0\" \"or\" \"c-25=0\"
\n" ); document.write( "\"c=5\" \"or\" \"c=25\"
\n" ); document.write( "ANSWER 1: The hypotenuse is 25 centimeters.
\n" ); document.write( ".
\n" ); document.write( "a=c-10cm=25cm-10cm=15 cm
\n" ); document.write( "ANSWER 2: The shorter leg is 15 centimeters.
\n" ); document.write( ".
\n" ); document.write( "b=c-5cm=25cm-5cm=20 cm
\n" ); document.write( "ANSWER 3: The longer leg is 20 centimeters.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
\n" ); document.write( "\"%2815cm%29%5E2%2B%2820cm%29%5E2=%2825cm%29%5E2\"
\n" ); document.write( "\"225cm%5E2%2B400cm%5E2=625cm%5E2\"
\n" ); document.write( "\"625cm%5E2=625cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "
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