Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers.
complete the following proof. (note: your teacher has additional instructions on how to complete this problem, if needed.)

prove: in an equilateral triangle the three medians are equal.

Since,  we know that a point on a line segment that divides it into two equal parts is called the mid point of the line.

And, If and are the coordinates of the end point then the coordinates of the mid point =  

Also, According to the distance formula, The distance between two points and  is unit.

Now, According to the figure,

P ≡

Q ≡

R ≡

PC =

     =

     =    ( height of the equilateral Δ=b)

QA =

      =

      =  

      =  

      =  

      =  

RB  =  

     =  

     =  

     =  

     =  

     =    

     =    

Since, PC = QA = RB

Therefore, all the median of the equilateral triangle are of same length.

the answer is 40.

proof: