Question

A triangle has sides A, B, and C. Sides A and B are of lengths `2` and `1`, respectively, and the angle between A and B is `(pi)/2`. What is the length of side C?

Answer 1

`C=sqrt5=2.236` units

Explanation:

As angle between `A` and `B` is `pi/2`,

`C` is hypotenuse

and as side `A=2` and side `B=1`

using Pythagoras theorem

`C^2=A^2+B^2=2^2+1^2=4+1=5`

Hence `C=sqrt5=2.236` units