Question

A triangle has sides A, B, and C. Sides A and B are of lengths `2` and `3`, respectively, and the angle between A and B is `(pi)/2`. What is the length of side C?

Answer 1

`C=sqrt13`

Explanation:

As the angle between A and B is `pi/2`, it is right angled triangle and hence as per Pythagoras theorem

`C^2=A^2+B^2=2^2+3^2=4+9=13`

Hence `C=sqrt13`.