Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Obtuse scalene triangle.

Sides: a = 223   b = 300   c = 500

Area: T = 18945.22878935
Perimeter: p = 1023
Semiperimeter: s = 511.5

Angle ∠ A = α = 14.63216002266° = 14°37'54″ = 0.25553695988 rad
Angle ∠ B = β = 19.86661951594° = 19°51'58″ = 0.34767305154 rad
Angle ∠ C = γ = 145.5022204614° = 145°30'8″ = 2.53994925394 rad

Height: ha = 169.9122357789
Height: hb = 126.302151929
Height: hc = 75.78109115741

Median: ma = 396.9488044459
Median: mb = 356.8821633038
Median: mc = 85.81766650482

Inradius: r = 37.03985687068
Circumradius: R = 441.4044033089

Vertex coordinates: A[500; 0] B[0; 0] C[209.729; 75.78109115741]
Centroid: CG[236.5766333333; 25.2660303858]
Coordinates of the circumscribed circle: U[250; -363.7822243145]
Coordinates of the inscribed circle: I[211.5; 37.03985687068]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.3688399773° = 165°22'6″ = 0.25553695988 rad
∠ B' = β' = 160.1343804841° = 160°8'2″ = 0.34767305154 rad
∠ C' = γ' = 34.4987795386° = 34°29'52″ = 2.53994925394 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     