If O is the circumcentre of triangle ABC and OD is perpendicular to BC, then prove that angle BOD = angle A.

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O

is the circumcentre of the triangle

A B C

and

O D

is perpendicular on

B C

. Prove that

∠ B O D = ∠ A

Q. Question 7
O is the circumcentre of the

Δ A B C

and D is the mid-point of the base BC. Prove that

∠ B O D = ∠ A

O

is the centroid of

△ A B C

and

D

is mid point of base

B C

then prove

∠ B O D = ∠ A .

Q. In

△ A B C

A B = A C

and bisector of angle

A

meets

B C

D

, then prove that

A D

is perpendicular to

B C

In the figure, O is the circumcentre of the triangle ABC, AB = AC and the line OD is perpendicular to the side BC. If BC = 24 cm and OD = 5 cm, then find the circumradius.

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