Question

In a parallelogram ABCD, it's diagonals intersect at point O. If OA = 6cm and OB = 7.5cm. Find the length of AC.



15cm

12cm

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Answer 1

Answer:15 cmStep-by-step explanation:In parallelogram ABCD, its diagonals intersect at point O. If OA = 6 cm and OB = 7.5 cm, find the length of AC Solution:When diagonal AC and BD intersect each other at point O.OA=OC=\frac{1}{2}ACOA=OC= 21 ACOB=OD=\frac{1}{2}BDOB=OD= 21 BDOA=\frac{1}{2}\times AC>AC=\ 2\ \times OA>AC=\ 2\times6=12\ cmOA= 21 ×AC>AC= 2 ×OA>AC= 2×6=12 cmand OB=\frac{1}{2}\times BD>BD=\ 2\ \times OB>BD=\ 2\times7.5=15\ cmOB= 21 ×BD>BD= 2 ×OB>BD= 2×7.5=15 cm