document.write( "Question 490728: Hypotoneuse Headaches! Please help me! I cannot figure these out. Been wrong 4 times...\r
\n" ); document.write( "\n" ); document.write( "1. The hypotenuse of a right triangle is 16 in. longer
\n" ); document.write( "than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the remaining side (in inches)? \r
\n" ); document.write( "\n" ); document.write( "2. The hypotenuse of a right triangle is 16 in. longer
\n" ); document.write( "than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the hypotenuse (in inches)? \r
\n" ); document.write( "\n" ); document.write( "3. The hypotenuse of a right triangle is 16 in. longer
\n" ); document.write( "than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the shortest side (in inches)? \r
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Algebra.Com's Answer #334258 by Alan3354(69443)\"\" \"About 
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1. The hypotenuse of a right triangle is 16 in. longer than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the remaining side (in inches)?
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\n" ); document.write( "c = hypotenuse
\n" ); document.write( "a = short side, b = longer side
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\n" ); document.write( "c = a+16 --> a = c-16
\n" ); document.write( "c = b+2 --> b = c-2
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\n" ); document.write( "\"c%5E2+=+a%5E2+%2B+b%5E2+=+%28c-16%29%5E2+%2B+%28c-2%29%5E2\"
\n" ); document.write( "\"c%5E2+=+c%5E2+-+32c+%2B+256+%2B+c%5E2+-+4c+%2B+4\"
\n" ); document.write( "\"c%5E2+=+2c%5E2+-+36c+%2B+260\"
\n" ); document.write( "\"c%5E2+-+36c+%2B+260+=+0\"
\n" ); document.write( "(c - 10)*(c - 26) = 0
\n" ); document.write( "c = 10, c = 26
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\n" ); document.write( "c = 10 doesn't work since a = -6
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\n" ); document.write( "c = 26
\n" ); document.write( "b = 10
\n" ); document.write( "a = 24
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\n" ); document.write( "It's the 5, 12, 13 right triangle x2
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