Question

In a parallelogram ABCD, diagonals AC and BD intersect at o and AC = 12.8 cm and BD = 7.6 cm find the measures of oc and od.

Answer 1

diagonal of parallelogram bisect each other
oc=(1/2)12.8
oc=6.4

similarly
od=(1/2)7.6
od=3.5

Answer 2

Given:

• AC = 12.8 cm
• BD = 7.6 cm

To Find:

• The measures of OC and OD.

Solution:

• From the given data, we get to know that O is the midpoint of parallelogram ABCD because AC and BD are diagonals intersecting each other.
• Therefore, OC =1/2 * AC =  AC/2
• Substitute the values in the above formula.
• OC = 12.8/2
• OC = 6.4 cm
• OD = 1/2 * BD = BD/2
• Substitute the values in the above formula.
• OD = 7.6/2
• OD = 3.8 cm

∴ The measures of OC = 6.4 cm and OD = 3.8 cm.