Triangle Calculator

Calculate triangle properties: area, perimeter, angles, and sides

Triangle Parameters
Select triangle type and enter known values
Triangle Properties
Calculated triangle measurements and classification

Enter triangle parameters to calculate properties

Famous Triangle Examples
Click to load well-known triangle configurations

3-4-5 Right Triangle

sss

Equilateral Triangle

sss

45-45-90 Triangle

asa

30-60-90 Triangle

asa

Triangle Calculation Methods

Law of Cosines

c² = a² + b² - 2ab·cos(C)

Used when you know two sides and the included angle (SAS) or all three sides (SSS).

Law of Sines

a/sin(A) = b/sin(B) = c/sin(C)

Used when you know two angles and one side (ASA/AAS) or two sides and a non-included angle (SSA).

Heron's Formula

Area = √[s(s-a)(s-b)(s-c)]

Where s is the semiperimeter. Used to calculate area when all three sides are known.

Triangle Inequality

a + b > c, a + c > b, b + c > a

The sum of any two sides must be greater than the third side for a valid triangle.