Question

What is the length of the side AD? [2 marks]

• A. $\sqrt{3}$
• B. 3
• C. $\sqrt{2}$
• D. 1

Answer 1

The correct option is A $\sqrt{3}$

In ∆ABC,
According to Pythagoras theorem
𝐴𝐶 =$\sqrt{1^2+1^2}$ =√2 𝑐𝑚
(1 mark)
In ∆ACD,
According to Pythagoras theorem
𝐴𝐷 = $\sqrt{\left({\sqrt{2}}^2\right)+1^2}$
= $\sqrt{2+1}$ = $\sqrt{3}$ 𝑐𝑚
(1 mark)