Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 16.06   b = 37.59   c = 29.65

Area: T = 227.87547922
Perimeter: p = 83.3
Semiperimeter: s = 41.65

Angle ∠ A = α = 24.13664713134° = 24°8'11″ = 0.42112608942 rad
Angle ∠ B = β = 106.8444012161° = 106°50'38″ = 1.86547797983 rad
Angle ∠ C = γ = 49.02195165256° = 49°1'10″ = 0.85655519611 rad

Height: ha = 28.37879317808
Height: hb = 12.12442241128
Height: hc = 15.37109809241

Median: ma = 32.88774504941
Median: mb = 14.67221172637
Median: mc = 24.81330051586

Inradius: r = 5.47111834862
Circumradius: R = 19.63875040403

Vertex coordinates: A[29.65; 0] B[0; 0] C[-4.65436593592; 15.37109809241]
Centroid: CG[8.33221135469; 5.1243660308]
Coordinates of the circumscribed circle: U[14.825; 12.87883127751]
Coordinates of the inscribed circle: I[4.06; 5.47111834862]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.8643528687° = 155°51'49″ = 0.42112608942 rad
∠ B' = β' = 73.1565987839° = 73°9'22″ = 1.86547797983 rad
∠ C' = γ' = 130.9880483474° = 130°58'50″ = 0.85655519611 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     