Question 1132233: How do I find a side of a parallelogram using the length of its diagnol ? Found 3 solutions by MathLover1, greenestamps, ikleyn:Answer by MathLover1(20850) (Show Source):
It can't be done; there is not enough information.
A parallelogram has two diagonals. The length of one of them does not determine the parallelogram; given a segment that is the diagonal of a parallelogram, there are an infinite number of parallelograms with diagonals of that length.
Even knowing the lengths of BOTH diagonals is not enough to determine a unique parallelogram. We know the diagonals bisect each other; but given the lengths of both of them, there are still an infinite number of parallelograms that can be formed.