Triangle calculator

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

Acute scalene triangle.

Sides: a = 1060   b = 851   c = 904

Area: T = 370197.8810546
Perimeter: p = 2815
Semiperimeter: s = 1407.5

Angle ∠ A = α = 74.24331688342° = 74°14'35″ = 1.29657877433 rad
Angle ∠ B = β = 50.59435515431° = 50°35'37″ = 0.88330240547 rad
Angle ∠ C = γ = 55.16332796226° = 55°9'48″ = 0.96327808556 rad

Height: ha = 698.4876567068
Height: hb = 870.0330271554
Height: hc = 819.0221859616

Median: ma = 699.8633200919
Median: mb = 888.4588074419
Median: mc = 848.2990339447

Inradius: r = 263.018803236
Circumradius: R = 550.6933482359

Vertex coordinates: A[904; 0] B[0; 0] C[672.9076526549; 819.0221859616]
Centroid: CG[525.636550885; 273.0077286539]
Coordinates of the circumscribed circle: U[452; 314.5787989556]
Coordinates of the inscribed circle: I[556.5; 263.018803236]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105.7576831166° = 105°45'25″ = 1.29657877433 rad
∠ B' = β' = 129.4066448457° = 129°24'23″ = 0.88330240547 rad
∠ C' = γ' = 124.8376720377° = 124°50'12″ = 0.96327808556 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     