Finding center of mass of a right triangle

[vande060]

Homework Statement

Find the center of mass for the following triange:

http://www.ehow.com/how_5132033_calculate-hypotenuse.html

above is a picture of a triangle, it is a right triangle

the side labeled a in the picture is a length of 1 and side b is length of 2, the total weight of the triangle is 5kg.

Homework Equations

a = bh*1/2

The Attempt at a Solution

I don't know much about where to begin, except for that this problem is an integral problem, somehow involving the area of a triangle formula, and the formula for density.

 

[kjohnson]

Yes, its technically an integral. Actually one integral for each dimension x & y,
but for a uniform density and gravitational field, the center of mass will be equal to the centroid of area. These formulas for a triangle are quite common and should be able to be found in any statics book or online easily.