How do you prove this triangle to be equilateral?
A circle centre O has 3 points on its circumference, A, B and C, such that ABC is an equilateral triangle. Point D lies on the circumference of the circle such that OD bisects AB. Prove triangle ODA is equilateral.
A circle centre O has 3 points on its circumference, A, B and C, such that ABC is an equilateral triangle. Point D lies on the circumference of the circle such that OD bisects AB. Prove triangle ODA is equilateral.
1 Answer
May 9, 2018
see explanation.
Explanation:
Given that
given that
recall that the line joining the center of a circle to the midpoint of a chord is perpendicular to the chord,
as
As