Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 17   b = 19   c = 24

Area: T = 160.4376903486
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 44.72222460248° = 44°43'20″ = 0.7810550442 rad
Angle ∠ B = β = 51.85554868988° = 51°51'20″ = 0.90550489816 rad
Angle ∠ C = γ = 83.42222670764° = 83°25'20″ = 1.456599323 rad

Height: ha = 18.87549298218
Height: hb = 16.88880951037
Height: hc = 13.37697419571

Median: ma = 19.90660292374
Median: mb = 18.5
Median: mc = 13.45436240471

Inradius: r = 5.34878967828
Circumradius: R = 12.08795151109

Vertex coordinates: A[24; 0] B[0; 0] C[10.5; 13.37697419571]
Centroid: CG[11.5; 4.45765806524]
Coordinates of the circumscribed circle: U[12; 1.38437215452]
Coordinates of the inscribed circle: I[11; 5.34878967828]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.2787753975° = 135°16'40″ = 0.7810550442 rad
∠ B' = β' = 128.1454513101° = 128°8'40″ = 0.90550489816 rad
∠ C' = γ' = 96.57877329236° = 96°34'40″ = 1.456599323 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     