Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Right scalene triangle.

Sides: a = 67.5   b = 45.5   c = 81.40333168857

Area: T = 1535.625
Perimeter: p = 194.4033316886
Semiperimeter: s = 97.20216584429

Angle ∠ A = α = 56.01771116188° = 56°1'2″ = 0.97876830352 rad
Angle ∠ B = β = 33.98328883812° = 33°58'58″ = 0.59331132916 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 45.5
Height: hb = 67.5
Height: hc = 37.72988066076

Median: ma = 56.65107943457
Median: mb = 71.23106991402
Median: mc = 40.70216584429

Inradius: r = 15.79883415571
Circumradius: R = 40.70216584429

Vertex coordinates: A[81.40333168857; 0] B[0; 0] C[55.97113065058; 37.72988066076]
Centroid: CG[45.79215411305; 12.57662688692]
Coordinates of the circumscribed circle: U[40.70216584429; 0]
Coordinates of the inscribed circle: I[51.70216584429; 15.79883415571]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.9832888381° = 123°58'58″ = 0.97876830352 rad
∠ B' = β' = 146.0177111619° = 146°1'2″ = 0.59331132916 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Calculation of the third side c 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. 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     