Question

The diagonals of a parallelogram ABCD intersect at point O. If QA = 4 cm and 0B = 5 cm, find the lengths of the diagonals AC and BD.​

Answer 1

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.

solution

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA= 3 cm and OD = 2 cm, determine the lengths of AC and BD.