Question

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

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Answer 1

$\huge{ \mathfrak{Answer}}$

Given - AC = BC.

AB = AC + CB

When AC = BC, then, BC can also be written as AC.

AB= AC + AC

AC = $\frac{1} {2}$ AB

Hence Proved.

Answer 2

$\mathfrak{\blue{\underline{\underline{Question}}}}$

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

$\mathfrak{\blue{\underline{\underline{Solution}}}}$

Given:

C lies between A and B

AC = BC

To prove: $AC = \dfrac{1}{2} AB$

Proof:

According to question

AB = AC + BC

AB = AC + AC (Given, AC = BC)

AB = 2AC

AC = AB/2

$AC = \dfrac{1}{2}AB$

Hence, proved.