1. The problem statement, all variables and given/known data 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. 2. Relevant equations ∫∫ (f(x,y) dA mx= 1/m(∫∫ x(fx,y) dA my= 1/m(∫∫ y(f(x,y) dA 3. The attempt at a solution how do you calculate the bounds? I know its the distance from the 90° angle to the the hypotenuse, but how to calculate that length? According to the book that length is √(x^2+y^2) why? Please, Help me how to visualize this problem. I know how to calculate the density and centers of mass, im just struggling in visualizing the problem and coming with an equation to integrate. Thank you. Ps- Happy Thanksgiving to those who celebrate it.