Question

In the figure ab= bc ,m is the mid point of ab and n is the midpoint of bc using euclid axiom prove that am =n

Answer 1

AB=AC
AB/2=AC/2
by Euclid's axiom half of equals are equal
AM=NC

Answer 2

Answer:

Since, ab =bc , m is the mid point of ab and n is the midpoint of bc.

then

$m=\frac{ab}{2}$ and $n=\frac{bc}{2}$

ab =bc

divide both the sides by 2, in above expression

$\frac{ab}{2}=\frac{bc}{2}$

by Euclid's axiom half of equals are equal,

$m=n$  

$am=nc$

Hence proved.