Question) In the given figure AB and CD are parallel chords if the length of arc AC = 14 cm. What is the length of BD.

Dear student
Correct question is:
In the given figure AB and CD are parallel chords if the length of AC = 14 cm. What is the length of BD.

Proof:

We know that angle in a semicircle is a right angle.

So, ∠CAB = ∠BDC = 90°

We also know that the perpendicular distances between two parallel lines are equal.

Since, AB and CD are parallel to each other, so AC = BD=14cm

Regards