. In a parallelogram ABCD, AC and BD intersect at O. Given that OC= 4cm and BD is 5cm more than
AC. Find OD.
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Step-by-step explanation:
Given - OC =4 cm
BD is 5 cm more than AC
sol - AC = OC +OA
= 4+4. (OC=4 cm therefore OA =4cm...by property of parallelogram)
=8 cm
given that BD is 5cm more than AC
hence BD = 8 + 5
= 13 cm
OD = 13 × 1/2 ......Property of parallelogram
= 7.5 cm
Therefore OD = 7.5 cm
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