Question

If the medians of a triangle are equal prove that the triangle is equilat-eral.
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Answer 1

Step-by-step explanation:

consider a ∆ABC . Let D be a point on BC from A. AD is the bisectoer of BC. From this we can say that BD=CD.

which implies that CD=2BD........................eq.1

Consider another two points E on AC and F on AB.This shows

that AE=EC & FA=FB.This shows that AE=2EC & FA=2FB....... eq2

From eq. 1,and eq. 2

CD=AE=FAMILY.This shows that

AB=BC=AC.

Hence proved.