UPSC 2014 CDS II Math Paper

Remember:
In an equilateral triangle, the three medians and the three altitudes are the same. Also, the lengths of the medians and the altitudes are equal.
The altitudes of an equilateral triangle are congruent.
Hence, statement 1 is correct
Remember:
The medians of an equilateral triangle are congruent.
Hence, statement 2 is correct.
Remember:
The centroid divides the altitude (or median) in the ratio 2 : 1.
Hence, statement 3 is incorrect.