ISOSCELES TRIANGLE AREA, HEIGHT AND SECTION PROPERTIES CALCULATOR
Isosceles triangle area,
altitude (height), distances from the centroidal axes to the vertices
of the triangle,
second moment of area and radius of gyration about the centroidal axes are calculated parameters by following calculator.
Isosceles triangle formulas for calculations are given in the "List of Equations"
section.
Calculator:
OUTPUT PARAMETERS 
Parameter 
Symbol 
Value 
Unit 
Cross section area 
A 



Second moment of area about x axis 
I_{x} 



Second moment of area about y axis 
I_{y} 


Radius of gyration 
r_{x} 



Radius of gyration 
r_{y} 


Altitude 
h 



Distance from the centroid to the vertice 
x_{c} 


Distance from the centroid to the vertice 
y_{c} 


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 crosssection 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.
List of Equations:
Isosceles Triangle 

Step 
Parameter/Condition 
Symbol 
Equation 
1 
Cross section area 
A 
A = b*h/2 
2 
Altitude 
h 
h=(a^{2}(b^{2}*1/4))^{0.5} 
3 
Area moment of inertia 
I_{x} 
I_{x} = (b*h^{3})*1/36 
4 
Area moment of inertia 
I_{y} 
I_{y} = (h*b^{3})*1/48 
5 
Distance from the centroid to
the back of the long leg 
x_{c} 
x_{c}=b/2 
6 
Distance from the centroid to
the back of the short leg 
y_{c} 
y_{c}=h*2/3 
7 
Radius of gyration 
r_{x} 
r_{x} = 0.2357*h 
8 
Radius of gyration 
r_{y} 
r_{y} = 0.2041*b 
Reference: