Triangle Calculator

Calculate triangle properties including area, perimeter, angles, and special measurements

Triangle Calculator

Choose your input method and enter the known values

Basic Properties

Triangle Type:
직각삼각형
Area:6.0000 sq units
Perimeter:12.0000 units
Semiperimeter:6.0000 units

Advanced Properties

Incircle Radius:1.0000 units
Circumcircle Radius:2.5000 units
Heights:
To side A:4.0000 units
To side B:3.0000 units
To side C:2.4000 units

Formulas Used

Area Calculations

Heron's Formula:
Area = √(s(s-a)(s-b)(s-c))
where s = (a+b+c)/2
Base × Height:
Area = (1/2) × base × height

Special Properties

Incircle Radius:
r = Area / s
Circumcircle Radius:
R = (abc) / (4 × Area)

Common Examples

Right Triangle (3-4-5)

Sides: 3, 4, 5
Area: 6 sq units
Perimeter: 12 units
Type: Right triangle

Equilateral Triangle

Sides: 5, 5, 5
Area: ≈ 10.83 sq units
Perimeter: 15 units
Type: Acute triangle

Isosceles Triangle

Sides: 5, 5, 6
Area: 12 sq units
Perimeter: 16 units
Type: Acute triangle

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