Triangle calculator

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

Acute scalene triangle.

Sides: a = 177   b = 118   c = 171

Area: T = 9645.322218228
Perimeter: p = 466
Semiperimeter: s = 233

Angle ∠ A = α = 72.94549901151° = 72°56'42″ = 1.27331302503 rad
Angle ∠ B = β = 39.59444293056° = 39°35'40″ = 0.69110531568 rad
Angle ∠ C = γ = 67.46105805793° = 67°27'38″ = 1.17774092464 rad

Height: ha = 108.9876691325
Height: hb = 163.4880036988
Height: hc = 112.8110785758

Median: ma = 117.2611459994
Median: mb = 163.7199271926
Median: mc = 123.7598838068

Inradius: r = 41.3966232542
Circumradius: R = 92.57109357475

Vertex coordinates: A[171; 0] B[0; 0] C[136.3921812865; 112.8110785758]
Centroid: CG[102.4643937622; 37.60435952526]
Coordinates of the circumscribed circle: U[85.5; 35.48441957098]
Coordinates of the inscribed circle: I[115; 41.3966232542]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107.0555009885° = 107°3'18″ = 1.27331302503 rad
∠ B' = β' = 140.4065570694° = 140°24'20″ = 0.69110531568 rad
∠ C' = γ' = 112.5399419421° = 112°32'22″ = 1.17774092464 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     