Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 52   b = 81   c = 43

Area: T = 998.9599458637
Perimeter: p = 176
Semiperimeter: s = 88

Angle ∠ A = α = 35.00330563095° = 35°11″ = 0.61109185809 rad
Angle ∠ B = β = 116.6810575466° = 116°40'50″ = 2.0366460215 rad
Angle ∠ C = γ = 28.31663682245° = 28°18'59″ = 0.49442138577 rad

Height: ha = 38.42215176399
Height: hb = 24.66656656454
Height: hc = 46.46332306343

Median: ma = 59.40553869611
Median: mb = 25.22439965113
Median: mc = 64.57774728524

Inradius: r = 11.352181203
Circumradius: R = 45.32661637482

Vertex coordinates: A[43; 0] B[0; 0] C[-23.34988372093; 46.46332306343]
Centroid: CG[6.55503875969; 15.48877435448]
Coordinates of the circumscribed circle: U[21.5; 39.90325202228]
Coordinates of the inscribed circle: I[7; 11.352181203]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.997694369° = 144°59'49″ = 0.61109185809 rad
∠ B' = β' = 63.3199424534° = 63°19'10″ = 2.0366460215 rad
∠ C' = γ' = 151.6843631775° = 151°41'1″ = 0.49442138577 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     