# AREA MOMENT OF INERTIA OF EQUILATERAL TRIANGLE

Equilateral triangle area,  height and moment of inertia calculator. Unit System (Quick selection) MetricInch INPUT PARAMETERS Parameter Value Side length [a] mm cm m inch ft
 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] ---

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### 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.

### Equilateral Triangle Formula:

 Equilateral Triangle Parameter Symbol Equation Cross section area A A = 0.4330a2 Altitude h h=a*(3^0.5)/2 Area moment of inertia Ix Ix = 0.01804a4 Area moment of inertia Iy Iy = 0.01804a4 Distance from the centroid to the back of the long leg xc xc=0.5000a Distance from the centroid to the back of the short leg yc yc=0.5774a Radius of gyration rx rx = 0.2041a Radius of gyration ry ry = 0.2041a