2014 · Q71
Consider the following statements in respect of an equilateral triangle:
- 1The altitudes are congruent.
- 2The three medians are congruent.
- 3The centroid bisects the altitude.
Which of the above statements are correct?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1, 2 and 3
Explanation
In an equilateral triangle altitudes and medians are all congruent, but the centroid divides each altitude in the ratio 2:1 rather than bisecting it.