The diagonals of parallelogram ABCD meet at O.
It is given that AO = $(x + 3)$ cm and OC = $(2 x - 5)$ cm.
Find the length of the full diagonal AC (in cm).

Question

The diagonals of parallelogram ABCD meet at O. It is given that AO = (x + 3) cm and OC = (2x - 5) cm. Find the length of the full diagonal AC (in cm).

Accepted Answer

22. Diagonals bisect each other, so AO = OC: x + 3 = 2x - 5, giving x = 8. AO = 8 + 3 = 11 cm. AC = 2 x 11 = 22 cm.

The diagonals of parallelogram ABCD meet at O.
It is given that AO = $(x + 3)$ cm and OC = $(2 x - 5)$ cm.
Find the length of the full diagonal AC (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Parallelograms practice

The diagonals of parallelogram ABCD meet at O.It is given that AO = (x+3) cm and OC = (2x−5) cm.Find the length of the full diagonal AC (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Parallelograms practice

The diagonals of parallelogram ABCD meet at O.
It is given that AO = $(x + 3)$ cm and OC = $(2 x - 5)$ cm.
Find the length of the full diagonal AC (in cm).