Question

prove that a median of an equilateral are equal​

Answer 1

answer :-

AB=BC=AC And AD, AB and CF are the median of triangle ABC

IN ADC AND BEA

DC=EA (HALVES OF EQUAL SIDES)

<ACD=<BAE ( EACH 60°)

AC = AB

THEREFORE ACD CONGRUENT TO BEC (SAS)

THEREFORE AD=BE (CPCT)

SIMILARLY BE=CF

HENCE,

AD=BE=CF