Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 24.68875   b = 66.68875   c = 57.43875

Area: T = 696.0876518009
Perimeter: p = 148.81325
Semiperimeter: s = 74.406625

Angle ∠ A = α = 21.31326657186° = 21°18'46″ = 0.37219761892 rad
Angle ∠ B = β = 100.9549657318° = 100°56'59″ = 1.7621903899 rad
Angle ∠ C = γ = 57.73876769634° = 57°44'16″ = 1.00877125655 rad

Height: ha = 56.39218191805
Height: hb = 20.87660717679
Height: hc = 24.23880506815

Median: ma = 60.99881669166
Median: mb = 29.0255228116
Median: mc = 41.27444600775

Inradius: r = 9.35552156977
Circumradius: R = 33.96220474824

Vertex coordinates: A[57.43875; 0] B[0; 0] C[-4.68993022307; 24.23880506815]
Centroid: CG[17.58327325898; 8.07993502272]
Coordinates of the circumscribed circle: U[28.719875; 18.12988187048]
Coordinates of the inscribed circle: I[7.719875; 9.35552156977]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.6877334281° = 158°41'14″ = 0.37219761892 rad
∠ B' = β' = 79.05503426821° = 79°3'1″ = 1.7621903899 rad
∠ C' = γ' = 122.2622323037° = 122°15'44″ = 1.00877125655 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     