Question

If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB.

Answer 1

Answer:

AC=BC ______. (eq.1)

AC+BC= AB

AC+ AC=AB (from eq.1)

2AC=AB

$ac = \frac{1}{2} ab$

Answer 2

Given :- C lies b/w A nd B

AB = AC

TP :- AC = 1/2 AB

Proof :-

AB = AC + CB

= AC + AC { Given }

= 2AC

=> AC = 1/2 AB

hence proved......

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