Question

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

Answer 1

C has length= `sqrt2`

Explanation:

As it is a right-angled triangle (`pi/2 = 90`) you can use Pythagoras' Theorem.
Pythagorus' Theorem states that `a^2+b^2=c^2` Where c is the hypotenuse of a right angled triangle.

So for your problem:

`c^2=1^2+1^2`
`c^2=2`
`c=sqrt2`
As it is a length we don't need to worry about the sign on the sqare root, it will always be positive.