Triangle calculator

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

Right scalene triangle.

Sides: a = 145.8155375047   b = 111.1   c = 94.44

Area: T = 5246.142
Perimeter: p = 351.3555375047
Semiperimeter: s = 175.6787687523

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 49.63439664686° = 49°38'2″ = 0.86662761357 rad
Angle ∠ C = γ = 40.36660335314° = 40°21'58″ = 0.70545201911 rad

Height: ha = 71.95659511241
Height: hb = 94.44
Height: hc = 111.1

Median: ma = 72.90876875233
Median: mb = 109.5666035339
Median: mc = 120.71884261

Inradius: r = 29.86223124767
Circumradius: R = 72.90876875233

Vertex coordinates: A[94.44; 0] B[0; 0] C[94.44; 111.1]
Centroid: CG[62.96; 37.03333333333]
Coordinates of the circumscribed circle: U[47.22; 55.55]
Coordinates of the inscribed circle: I[64.57876875233; 29.86223124767]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 130.3666033531° = 130°21'58″ = 0.86662761357 rad
∠ C' = γ' = 139.6343966469° = 139°38'2″ = 0.70545201911 rad

How did we calculate this triangle?

1. Input data entered: side b, c and angle α. 2. Calculation of the third side a of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     