Question

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

Answer 1

the third side is √11

Explanation:

By Pythagoras theorem, we can find the third side

c^2 = a^2 + b^2

if a = √2

b = 3

then,

c^2 = a^2 + b^2

c^2 =(√2)^2 + (3)^2

c^2 = 2+9

c^2 = 11

Taking square root on both sides:

√c^2 = √11

c = √11

So, the third side is √11