Question

Can someone please help me on this homework assignment? The picture/snip-it is added below:

Answer 1

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, √4

So, we will apply the Pythagorean theorem as follows:

$\sqrt[]{2^2+2^2}=\sqrt[]{4+4}=\sqrt[]{8}\ne\sqrt[]{4}$

Option A is wrong

Option B) 9, 40, 41

so,

$\sqrt[]{9^2+40^2}=\sqrt[]{81+1600}=\sqrt[]{1681}=41$

so, option B is correct

So, the answer will be option B) 9, 40, 41