Let m ♣ n be defined as follows: m ♣ n = m^3 - n^3 if x ♣ y = 0, which statement could be true? a) x = 0, y = 1 b) x = 2, y = 2 c) x = -1, y = 0 d) x = -3, y = 3 e) x = 1/2, y = -2

An obtuse triangle.

Step-by-step explanation:

We have given the different sides of a triangle that is Side A = 2, Side B = 8 and Side C = 7.

According to the question, we can tell the triangle is acute, obtuse or a right triangle.

We know that,    

For given sides x,y,z of a triangle,

If = , then its a right triangle.

If < , then its an acute triangle.

If > , then its an obtuse triangle.

We have a = x = 2, b = z = 8 and c = y = 7.

Note: We always take z as the greatest side length.

Now,

We can see that, 4 + 49 < 64.

So, we can apply rule

if > , then its an obtuse triangle.

Therefore,

Given sides are of an obtuse triangle.