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?

1 Answer
Jan 2, 2016

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.