Question

A triangle has sides of sqrt of 2 and 3. Which could not be the length of the third side if it is a right triangle?

a) sqrt 7
b) sqrt 11
c) sqrt 13

Answer 1

Find c, using a^2 + b^2 = c^2

But there's also another possible case:

Find a, again using a^2 + b^2 = c^2

There's not a possibility of the sqrt2 being the hypotenuse, since the hypotenuse must be the longest side, and sqrt2 is smaller than 3.