Question

please give me answers it's urgent...​

Answer 1

Step-by-step explanation:

Given three points A , C and B on a line such that AC=BC

$\tt \underset{A}{ | } \frac{ \qquad \qquad \qquad}{} \underset{C}{ | } \frac{\qquad \qquad \qquad}{} \underset{B}{ | }$

By Euclid's Axiom 2, we know that if equals be added t o equals then the wholes are equal.

$\[ \begin{array}{l} \tt \therefore A C=C B \\ \\ \Rightarrow \tt A C+A C=C B+A C(\because \text { By Euclid's Axion } 4, A C \tt +C B=A B) \\ \\ \tt \Rightarrow 2 A C=A B \\ \\ \displaystyle \tt \Rightarrow A C=\frac{1}{2} A B \end{array} \]$

Hence Proved.