Question

show that medians of equilateral triangle are equal

Answer 1

Let the measure of each side of the equilateral ∆ be a unit.
Since, the median and altitude of an equi∆ coincide ,so the length of median =
$\sqrt{3a} \div 2$
Similarly the length of left two medians =
$\sqrt{3a} \div 2$
Thus, medians of an equi ∆ are equal