Triangle calculator

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

Acute scalene triangle.

Sides: a = 174   b = 185   c = 152

Area: T = 12326.47875762
Perimeter: p = 511
Semiperimeter: s = 255.5

Angle ∠ A = α = 61.24774532473° = 61°14'51″ = 1.06989697176 rad
Angle ∠ B = β = 68.76992011386° = 68°46'9″ = 1.22002489838 rad
Angle ∠ C = γ = 49.98333456141° = 49°59' = 0.87223739521 rad

Height: ha = 141.6843650302
Height: hb = 133.259921704
Height: hc = 162.1990494424

Median: ma = 145.2432899999
Median: mb = 134.6621612942
Median: mc = 162.7109864483

Inradius: r = 48.24545306311
Circumradius: R = 99.23551620675

Vertex coordinates: A[152; 0] B[0; 0] C[63.01098684211; 162.1990494424]
Centroid: CG[71.67699561404; 54.06334981414]
Coordinates of the circumscribed circle: U[76; 63.80992265317]
Coordinates of the inscribed circle: I[70.5; 48.24545306311]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 118.7532546753° = 118°45'9″ = 1.06989697176 rad
∠ B' = β' = 111.2310798861° = 111°13'51″ = 1.22002489838 rad
∠ C' = γ' = 130.0176654386° = 130°1' = 0.87223739521 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     