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O is the circumcentre of the ABC and D is the mid point of the base BC. Prove that BOD = A.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

OD BC [A line drawn through the centre of a circle bisecting a chord is to the chord]

In rt. OBD and OCD

OB = OC (radii)

OD = OD (common)

ODB = ODC [each 90o]

(The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.)

From (i) and (ii)

BOD = A

Answered by Expert 4th June 2014, 3:23 PM
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