SOLUTION: Given a parallelogram MNOP in which PN= 32 cm and OM = 24 cm.State the length PS and OS. (The middle letter of the parallelogram is S)

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Question 979444: Given a parallelogram MNOP in which PN= 32 cm and OM = 24 cm.State the length PS and OS.
(The middle letter of the parallelogram is S)

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
The two diagonals intersect at point S.
(That must be what you meant when you wrote that the "middle letter of the parallelogram is S").

A property of parallelograms is that
"diagonals bisect each other",
meaning that they intersect at their midpoint.
So, is the midpoint of diagonal , and the midpoint of diagonal .
Since S is the midpoint of , , and ,
Then ---> , and also, since , --->--->---> .
Since S is the midpoint of , , and
Then ---> , and also, since , --->--->---> .

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