Triangle calculator

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

Acute scalene triangle.

Sides: a = 989   b = 861   c = 673

Area: T = 284643.5687927
Perimeter: p = 2523
Semiperimeter: s = 1261.5

Angle ∠ A = α = 79.25217524559° = 79°15'6″ = 1.38332040183 rad
Angle ∠ B = β = 58.79332291994° = 58°47'36″ = 1.02661354274 rad
Angle ∠ C = γ = 41.95550183447° = 41°57'18″ = 0.73222532079 rad

Height: ha = 575.6198944241
Height: hb = 661.1932956857
Height: hc = 845.8954704092

Median: ma = 593.7976892885
Median: mb = 728.1454731492
Median: mc = 863.9965804388

Inradius: r = 225.6398975765
Circumradius: R = 503.333037663

Vertex coordinates: A[673; 0] B[0; 0] C[512.4298677563; 845.8954704092]
Centroid: CG[395.1432892521; 281.9654901364]
Coordinates of the circumscribed circle: U[336.5; 374.3121658967]
Coordinates of the inscribed circle: I[400.5; 225.6398975765]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 100.7488247544° = 100°44'54″ = 1.38332040183 rad
∠ B' = β' = 121.2076770801° = 121°12'24″ = 1.02661354274 rad
∠ C' = γ' = 138.0454981655° = 138°2'42″ = 0.73222532079 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     