Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 15   b = 29   c = 30

Area: T = 213.5044098321
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 29.39440987412° = 29°23'39″ = 0.51330238037 rad
Angle ∠ B = β = 71.60656445746° = 71°36'20″ = 1.25497542608 rad
Angle ∠ C = γ = 799.0002566841° = 79°1″ = 1.37988145891 rad

Height: ha = 28.46772131095
Height: hb = 14.72444205739
Height: hc = 14.23436065548

Median: ma = 28.53550661468
Median: mb = 18.76883243791
Median: mc = 17.55499287748

Inradius: r = 5.77703810357
Circumradius: R = 15.28107371177

Vertex coordinates: A[30; 0] B[0; 0] C[4.73333333333; 14.23436065548]
Centroid: CG[11.57877777778; 4.74545355183]
Coordinates of the circumscribed circle: U[15; 2.91656348983]
Coordinates of the inscribed circle: I[8; 5.77703810357]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.6065901259° = 150°36'21″ = 0.51330238037 rad
∠ B' = β' = 108.3944355425° = 108°23'40″ = 1.25497542608 rad
∠ C' = γ' = 1010.999743316° = 100°59'59″ = 1.37988145891 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     