document.write( "Question 730735: What is the length of the hypotenuse of the right triangle defined by the points (4, 2), (8, 2), and (8, 4)? \n" ); document.write( "

Algebra.Com's Answer #446808 by fcabanski(1391) $\"\"$ $\"About$

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If you draw this triangle you'll see that the hypotenuse is the side between the points (8,4) and (4,2).

\n" ); document.write( "The length of the first leg is 4, the distance between (4,2) and (8,2).

\n" ); document.write( "The length of the second leg is 2, the distance between (8,2) and (8,4)

\n" ); document.write( "Pythagorean theorem shows the hypotenuse is: $\"a%5E2+%2B+b%5E2+=+c%5E2+=+4%5E2+%2B+2%5E2+=+c%5E2+=+16%2B40+=+20\"$

\n" ); document.write( "c, the hypotenuse = $\"sqrt%2820%29+=+2%2Asqrt%285%29\"$

\n" ); document.write( "The distance formula gives the same answer. Find the distance between (4,2) and (8,4)

\n" ); document.write( "d = $\"sqrt%28%28y2-y1%29%5E2+%2B+%28x2-x1%29%5E2%29+=+sqrt+%284%5E2+%2B+2%5E2%29+=+2%2Asqrt%285%29\"$
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Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.) \n" ); document.write( "

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