In the adjoining figure, is perpendicular to the chord of a circle with center If is a diameter, show that and

Question

Philoid · Accepted Answer

Given ODAB

In triangle ABC,

D is the mid-point of AB

∴ AD = DB

O is the mid-point of BC

∴ OC = OB

We say, AC||OD

(1/2) AC = OD [Mid-point theorem in triangle ABC]

⇒ AC = 2 × OD Proved.