Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 20   b = 21   c = 23

Area: T = 194.9776921711
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 53.83985840336° = 53°50'19″ = 0.9439660556 rad
Angle ∠ B = β = 57.96551639558° = 57°57'55″ = 1.01216829625 rad
Angle ∠ C = γ = 68.19662520106° = 68°11'47″ = 1.19902491351 rad

Height: ha = 19.49876921711
Height: hb = 18.56992306392
Height: hc = 16.95545149314

Median: ma = 19.62114168703
Median: mb = 18.82215302247
Median: mc = 16.97879268463

Inradius: r = 6.09330288035
Circumradius: R = 12.38660812798

Vertex coordinates: A[23; 0] B[0; 0] C[10.60986956522; 16.95545149314]
Centroid: CG[11.20328985507; 5.65215049771]
Coordinates of the circumscribed circle: U[11.5; 4.60105444754]
Coordinates of the inscribed circle: I[11; 6.09330288035]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.1611415966° = 126°9'41″ = 0.9439660556 rad
∠ B' = β' = 122.0354836044° = 122°2'5″ = 1.01216829625 rad
∠ C' = γ' = 111.8043747989° = 111°48'13″ = 1.19902491351 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     