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Question
In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.
If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.
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Solution
∵ When diagonals AC and BD intersect each other at point O,
then OA = OC = `1/2` AC
and OB = OD = `1/2` BD
∴ OA = `1/2 xx "AC" = 1/2 xx 12 = 6` cm
and OB = `1/2 xx "BD" = 1/2 xx 9 = 4.5` cm
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