Question

What is the perimeter of the triangle formed by the points (0,0), (1,0) and (0,1)?

• A. $\sqrt{2}$
• B. 2
• C. 2-$\sqrt{2}$
• D. 2+$\sqrt{2}$

Answer 1

The correct option is D 2+$\sqrt{2}$

According to the figure

$OA=1units,OB=1units$

$AB=\sqrt{(OA{)}^2+(OB{)}^2}$

$AB=\sqrt{(1{)}^2+(1{)}^2}$

$AB=\sqrt{2}$

$\therefore$Perimeter of the triangle$=1+1+\sqrt{2}=2\sqrt{2}unit$