Question

if in an euilateral triangle the length of a median is root 3cm then find the length of side of eq. triangle

Answer 1

AB=BC=CA=2x
BD=DC=X
AD=root.3
angleADC=90
Using Pythagoras theorem
${ac}^{2} = {ad }^{2} + {dc}^{2}$
${4x}^{2} = { \sqrt{3} }^{2} + {x}^{2} \\ 4 {x}^{2} = 3 + {x}^{2} \\ 3 {x}^{2} = 3$
${x}^{2} = 1$
$x = 1$
$2x = 2 \\ answer$

Answer 2

hope this will help you