document.write( "Question 1076331: In a right triangle, the lengths of the legs are represented by 7 and r, and the hypotenuse is represented by r + 1. Find the length of the hypotenuse. \n" ); document.write( "
Algebra.Com's Answer #690986 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "a right triangle, => so, use Pythagorean theorem\r
\n" ); document.write( "\n" ); document.write( "\"c%5E2=a%5E2%2Bb%5E2\" where \"a\" and \"b\" are legs and \"c\" hypotenuse\r
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\n" ); document.write( "\n" ); document.write( "the lengths of the legs are represented by \"a=7\" and \"b=r\", and the hypotenuse is represented by \"c=r+%2B+1\":\r
\n" ); document.write( "\n" ); document.write( "\"c%5E2=a%5E2%2Bb%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28r+%2B+1%29%5E2=7%5E2%2Br%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2+%2B2r%2B+1=49%2Br%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%28r%5E2%29+%2B2r%2B+1=49%2Bcross%28r%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2r=49-1\"\r
\n" ); document.write( "\n" ); document.write( "\"2r=48\"\r
\n" ); document.write( "\n" ); document.write( "\"r=48%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"r=24\"\r
\n" ); document.write( "\n" ); document.write( "now find hypotenuse:\r
\n" ); document.write( "\n" ); document.write( " \"c=r+%2B+1\"=> \"c=24+%2B+1\"=> \"highlight%28c=25%29\"\r
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