Triangle calculator

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

Acute scalene triangle.

Sides: a = 63   b = 86   c = 87

Area: T = 2537.337718689
Perimeter: p = 236
Semiperimeter: s = 118

Angle ∠ A = α = 42.70771248167° = 42°42'26″ = 0.74553799421 rad
Angle ∠ B = β = 67.79993830025° = 67°47'58″ = 1.18333224642 rad
Angle ∠ C = γ = 69.49334921808° = 69°29'37″ = 1.21328902473 rad

Height: ha = 80.55503868856
Height: hb = 59.00878415557
Height: hc = 58.33295905033

Median: ma = 80.56220878578
Median: mb = 62.610990337
Median: mc = 61.56550062942

Inradius: r = 21.50328575161
Circumradius: R = 46.44329799116

Vertex coordinates: A[87; 0] B[0; 0] C[23.80545977011; 58.33295905033]
Centroid: CG[36.93548659004; 19.44331968344]
Coordinates of the circumscribed circle: U[43.5; 16.27696153326]
Coordinates of the inscribed circle: I[32; 21.50328575161]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.2932875183° = 137°17'34″ = 0.74553799421 rad
∠ B' = β' = 112.2010616997° = 112°12'2″ = 1.18333224642 rad
∠ C' = γ' = 110.5076507819° = 110°30'23″ = 1.21328902473 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     