I want to calculate the moment of inertia of a 2d triangle. Let's say we've got a triangle with sides of 20 units. So it has width 20 and height 17,32.
Also, let's say this triangle has a mass of 173.20 mass units (just used the surface). Now I want to calculate the moment of inertia from a given axis of rotation.
I = M*r^2 for point mass
The Attempt at a Solution
Since the triangle is basically built from an infinite number of point masses, but it has no use to divide the mass by the number of point masses, and calculate the MI for every single point. There must be a more easy way of calculating the moment of inertia for basic geometric shapes, with a given axis of rotation. But I can only find the theory of shapes being built from point masses. Please help