Question: Select the correct statement/statements. 1. In an equilateral triangle, orthocenter coincides with incenter. 2. In an equilateral triangle, median and angle bisector from a vertex are the same. 3. In an equilateral triangle, centroid coincides with circumcenter.
A ) 2 only B ) 3 only C ) 1, 2, and 3 D ) 1 only
Steps to derive
1 In an equilateral triangle, median, altitude, perpendicular bisector and angle bisectors are same.
2 So, centroid, orthocenter, incenter and circumcenter of an equilateral triangle coincide.
