Question

In the given figure ABCD

is a parallelogram and OA =5cm

and OB = 6cm .find the Length

of the diagonals AD and BC?​

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.

Answer 2

The length of the diagonal AC and BD is 10cm and 12cm.

Given: ABCD are a parallelogram and OA =5cm

and OB = 6cm.

To find: We have to find the length of AC and BD.

Solution:

ABCD is a parallelogram where the two diagonals namely AC and BD bisect each other at the point O.

As the diagonals bisect each other we can write-

OA=OC and OB=OD.

Thus, AC=OA+OC

AC=2×5

The length of AC is 10cm.

Again similarly, BD=OB+OD

BD=2×6

BD=12

The length of BD is 12cm.

Thus, the length of the diagonal AC and BD is 10cm and 12cm.