Triangle calculator

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

Right scalene Pythagorean triangle.

Sides: a = 75   b = 45   c = 60

Area: T = 1350
Perimeter: p = 180
Semiperimeter: s = 90

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 36
Height: hb = 60
Height: hc = 45

Median: ma = 37.5
Median: mb = 64.08800280899
Median: mc = 54.0833269132

Inradius: r = 15
Circumradius: R = 37.5

Vertex coordinates: A[60; 0] B[0; 0] C[60; 45]
Centroid: CG[40; 15]
Coordinates of the circumscribed circle: U[30; 22.5]
Coordinates of the inscribed circle: I[45; 15]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 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    