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Question

Sides of a triangle ABC are equidistant from the centre O of its circumcircle. Triangle ABC is


A

Equilateral triangle

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B

Scalene triangle

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C

Right triangle

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D

Isosceles triangle

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Solution

The correct option is A

Equilateral triangle


OL = OM = ON

Therefore, chords BC, CA and AB of the circle are equidistant from the centre.

Hence, BC = CA = AB (equidistant chords from the centre are equal)

Thus, ABC is an equilateral triangle.


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