Question

5. ABCD is a parallelogram. If AO = (3a - b) cm, OC = 16 cm, BO = 2a cm and OD = 18 cm, find the values of a and b. A B (3a - b)cm O (2a) cm no 16 cm 18 cm cm D С 225​

Answer 1

Answer:

Here, ABCD is a parallelogram and AC and BD are diagonals of parallelogram intersect each other at O.

OA = 3 cm and OD = 2 cm

We know that, diagonals of a parallelogram bisect each other.

.. AO = OC and BO = OD

⇒ AC = 2 x OA = 2 x 3 cm = 6 cm

⇒ BD = 2 x OD = 2 x 2 cm = 4cm

.. The length of the diagonals AC and BD ar

6 cm and 4 cm.