Question

how this question wii proove...

Answer 1

Here it is..
given,
AC=BC
SO,
AC+BC=AB
hence,we can say that..
2AC=AB (AC=BC)
AC=1/2AB (PROVED)

Answer 2

$\mathfrak{\huge{\pink{Solution}}}$

Given :

C is a point between A and B.
AC = BC

Prove :
AC = 1/2AB

According to Euclid Axiom 2,

We know that If equals are added to equals then the wholes are equal.

Since,

AC = BC

And,

AC + BC = AB

(by euclic axiom 4, AC + CB = AB)

=> AC + AC = AC + CB

=> 2AC = AB

=> AC = 1/2AB
(Since, halves of equals are equal)

❗❗The euclid axioms used here are -

(i) If equals are added to equals then the wholes are equal.

(ii) Things which concide to one another are equal to one another.

(iii) Things which are halves of the same things are equal to one another.