7. Diagonals AC and BD of a rectangle bisect each other at 0.if OA= 4cm then find AC and BD.
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Answer:
Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.
OA=3cm and OD=2cm
We know that, diagonals of a parallelogram bisect each other.
∴ AO=OC and BO=OD
⇒ AC=2×OA=2×3cm=6cm
⇒ BD=2×OD=2×2cm=4cm
∴ The length of the diagonals AC and BD are 6cm and 4cm.
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