For the right angle triangle,
The hypotenuse is the longest side of the triangle and according to the Pythagorean theorem:
The square of the hypotenuse = the sum of the squares of the legs of the triangle
We will check which option represents the side lengths of a right triangle
Option A) 2, 2, ā4
So, we will apply the Pythagorean theorem as follows:
[tex]\sqrt[]{2^2+2^2}=\sqrt[]{4+4}=\sqrt[]{8}\ne\sqrt[]{4}[/tex]
Option A is wrong
Option B) 9, 40, 41
so,
[tex]\sqrt[]{9^2+40^2}=\sqrt[]{81+1600}=\sqrt[]{1681}=41[/tex]
so, option B is correct
So, the answer will be option B) 9, 40, 41
