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Points and lie on a circle with centre such that
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
Points
A
,
B
A, B
A
,
B
and
C
C
C
lie on a circle with centre
O
O
O
such that
∠
A
O
B
=
∠
B
O
C
=
∠
C
O
A
\angle AOB = \angle BOC = \angle COA
∠
A
O
B
=
∠
B
O
C
=
∠
C
O
A
. Prove that
△
A
B
C
\triangle ABC
△
A
B
C
is equilateral.
Related theory
Properties of Triangles
Triangle Properties
Chord Properties
Circles
Equal chords and their distances
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