Triangle Calculator

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Input Values

Side a

Side b

Side c

Angle A (°)

Angle B (°)

Angle C (°)

Angle Unit

Properties

Coordinates

Graph Analysis

Formulas

Equilateral Triangle

Side a: 1

Side b: 1

Side c: 1

Angle ∠A: 60° = 1.0472 rad = π/3

Angle ∠B: 60° = 1.0472 rad = π/3

Angle ∠C: 60° = 1.0472 rad = π/3

Area: 0.43301

Perimeter: 3

Semiperimeter: 1.5

Vertex A: [0, 0]

Vertex B: [1, 0]

Vertex C: [0.5, 0.86603]

Centroid: [0.5, 0.28868]

Incenter: [0.5, 0.28868]

Circumcenter: [0.5, 0.28868]

Graph Analysis would be shown here

Area Formula: Heron's Formula: √[s(s-a)(s-b)(s-c)]

Law of Cosines: a² = b² + c² - 2bc cos(A)

Law of Sines: a/sin(A) = b/sin(B) = c/sin(C) = 2R

Given all sides equal to 1, this is an equilateral triangle.

All angles in an equilateral triangle are equal: 60° each.

Area calculated using formula: (√3/4) * a² = (√3/4) * 1 ≈ 0.43301

Perimeter: a + b + c = 1 + 1 + 1 = 3

Semiperimeter: Perimeter / 2 = 3 / 2 = 1.5