what is the area moment of inertia of a triangle?

[Omegachi]

i know for the X axis its Ix=1/36*b*h^3

but what is the mmi of a triangle for the y axis?

 

[Random Variable]

do the integration

 

[Omegachi]

i can't find a table with Iy...

 

[Random Variable]

It's very messy:

(hb^3+hab^2+ha^2b)/12

where a is the distance from the apex of the triangle to the y-axis

 

[Omegachi]

wait... is my lx correct? i got Ix=1/36*b*h^3, but on a site i found it to be 1/12*b*h^3