Word problem: What is it saying?

[rocomath]

I'm not sure what part of this problem is saying:

Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.

bold part!

So, they're referring to the distance from the vertex (the right angle) to the hypotenuse? Opposite the hypotenuse?

 

[Shooting Star]

So, they're referring to the distance from the vertex (the right angle) to the hypotenuse? Opposite the hypotenuse?

They are referring to the distance of any point on the triangle from the vertex which is opposite the hypotenuse, i.e., the right angled vertex.