Geometrical Properties of Right Triangle

Side lengths

a =   m, b =   m

Area

A = a·b2 m²

Perimeter

P = a + b +  a² + b² m²

Centroid

y_c = a3 m

z_c = b3 m

Second moments of area

I_y = a·b³36 m⁴

I_z = a³·b36 m⁴

I_yz = -(a²·b²)72 m⁴

Principal area moments

I₁ = I_y + I_z2 +  (I_y – I_z)²4 + I_yz² m⁴

I₂ = I_y + I_z2 –  (I_y – I_z)²4 + I_yz² m⁴

Angle of principal axis

α₁ = atan(I_y – I₁I_yz) ^о

Polar moment of area

I_x = I_y + I_z

Radii of gyration

r_y =  I_yA m

r_z =  I_zA m

r₁ =  I₁A m

r₂ =  I₂A m

r_x =  I_xA m