Question

What is the perimeter of right angled triangle with the length of perpendicular sides $2m$?

• A. $6cm$
• B. $4+2\sqrt{2}cm$
• C. $6\sqrt{2}cm$
• D. $4cm$

Answer 1

The correct option is B $4+2\sqrt{2}cm$

Given that, length of both perpendicular sides $=2m$

As the triangle is right angled,

By Pythagoras Theorem,

$H^2=P^2+B^2$

$H^2=4+4$

$\Rightarrow H=2\sqrt{2}$

Perimeter $=$ Sum of all sides $=2+2+2\sqrt{2}=4+2\sqrt{2}$