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

Answer:

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.