Question

In a parallelogram ABCD, the point of intersection of both diagonals AC and BD is
O. If AC =16cm and BD =12cm then what is OA and OD.

Answer 1

∵ When diagonal AC and BD intersect each other at point o,

then OA = OC = (1/2) AC

And OB = OD = (1/2) BD

∴ OA = 1/2 × AC = 1/2 × 12 = 6 cm

and OB = 1/2 × BD = 1/2 × 9 = 4.5 cm

(◍•ᴗ•◍)❤

Answer 2

Step-by-step explanation:

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.