We are trying to figure out the correct answers. these may not be right. !

Right Triangle   4, 4, √32

                          8, 7, √113

Not a Right Triangle  4, 4, √24  

                                   4, 10, 11

                                   7, 8, 15

Step-by-step explanation:

To check whether a triangle is right angle or not we can apply Pythagorus theorem, that is Base^2 + Perpendicular^2 = Hypotenuse^2

If in a triangle, the sum of squares of smaller sides is equal to square of hypotenuse then the triangle is right angle triangle.

For Example,  Triangle with sides 4, 4, √32 is a right angle triangle as

Sum of squares of smaller sides = 4^2 + 4^2 = 16+16 =32 and

Square of largest side = (√32)^2 = 32

Similarly, we can check for other set of sides as well.

Thank you.

Hope it helps.