Question

Q & What is the measurement of the diagonals AC and DB in the given
parallelogram ABCD?
B
X+3.2
(a) AC = 3cm and BD = 4.8cm
(b) AC = 3cm and BD=9.6cm
(C) AC = 6cm and BD = 9.6cm
(d) AC = 6cm and BD = 4.8cm​

Answer 1

∴  The length of the diagonals AC and BD are 6cm and 4cm.

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.