# MOMENT OF INERTIA, CENTROID AND AREA OF ISOSCELES TRIANGLE

Area, moment of inertia and centroid of isosceles triangle. Unit System (Quick selection) MetricInch INPUT PARAMETERS Parameter Value Equal sides length [a] mm cm m inch ft Remaining side [b]
 RESULTS Parameter Value Cross section area [A] --- mm^2 cm^2 inch^2 ft^2 Second moment of area about x axis [Ix] --- mm^4 cm^4 inch^4 ft^4 Second moment of area about y axis [Iy] --- Radius of gyration [rx] --- mm cm m inch ft Radius of gyration [ry] --- Altitude [h] --- mm cm m inch ft Distance from the centroid to the vertice [xc] --- Distance from the centroid to the vertice [yc] ---

Note: Use dot "." as decimal separator.

### Definitions:

Equilateral Triangle: A triangle with all three sides of equal length.

Second Moment of Area: The capacity of a cross-section to resist bending.

Radius of Gyration (Area): The distance from an axis at which the area of a body may be assumed to be concentrated and the second moment area of this configuration equal to the second moment area of the actual body about the same axis.

### Isosceles Triangle Formula:

 Isosceles Triangle Parameter Symbol Equation Cross section area A A = b*h/2 Altitude h h=(a2-(b2*1/4))0.5 Area moment of inertia Ix Ix = (b*h3)*1/36 Area moment of inertia Iy Iy = (h*b3)*1/48 Distance from the centroid to the back of the long leg xc xc=b/2 Distance from the centroid to the back of the short leg yc yc=h*2/3 Radius of gyration rx rx = 0.2357*h Radius of gyration ry ry = 0.2041*b