SOLUTION: Diagonal of parallelograms ABCD intersect at O. If AO=2x+4, OB=6+3y, OC=15-y, and OD=x+4, find AC and BD.

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Question 1014207: Diagonal of parallelograms ABCD intersect at O. If AO=2x+4, OB=6+3y, OC=15-y, and OD=x+4, find AC and BD.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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Use the fact that the diagonals of a parallelogram bisect each other at the intersection point.

Make a sketch.

Write the equations according to the conditions.

Solve them for x.

Then calculate the halves of diagonals according to the condition expressions.

Then find the diagonals lengths.

It is so easy . . .