document.write( "Question 1123998: One of diagonals of a parallelogram is its altitude. What is the length of this altitude, if its perimeter is 50 cm, and the length of one side is 1 cm longer than the length of the other? \n" ); document.write( "
Algebra.Com's Answer #740378 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "If the perimeter is 50 and one side is 1cm longer than the other, then the side lengths are 12 and 13.

\n" ); document.write( "Then the diagonal that is an altitude divides the parallelogram into two right triangles each with one leg 12 and hypotenuse 13.

\n" ); document.write( "Since 5-12-13 is a Pythagorean Triple, the length of the diagonal is 5.
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