SOLUTION: 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 th

Algebra ->  Parallelograms -> SOLUTION: 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 th      Log On


   

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?
Answer by greenestamps(13200) About Me  (Show Source):
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If the perimeter is 50 and one side is 1cm longer than the other, then the side lengths are 12 and 13.

Then the diagonal that is an altitude divides the parallelogram into two right triangles each with one leg 12 and hypotenuse 13.

Since 5-12-13 is a Pythagorean Triple, the length of the diagonal is 5.