QQuestion
- Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of △DEF.
- Statement 2: The incentre of a triangle is the point where the bisectors of the angles intersect.
(a) Both statements are true.
(b) Both statements are false.
(c) Statement 1 is true and Statement 2 is false.
(d) Statement 1 is false and Statement 2 is true.
✓Answer
(a) Both statements are true.
Explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. It is equidistant from all three vertices. Therefore, Statement 1 is true.
The incentre is the point of intersection of the three internal angle bisectors of a triangle. Therefore, Statement 2 is also true.
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