Triangle calculator SAS

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

Right scalene triangle.

Sides: a = 100   b = 150   c = 180.2787563773

Area: T = 7500
Perimeter: p = 430.2787563773
Semiperimeter: s = 215.1398781887

Angle ∠ A = α = 33.6990067526° = 33°41'24″ = 0.58880026035 rad
Angle ∠ B = β = 56.3109932474° = 56°18'36″ = 0.98327937232 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 150
Height: hb = 100
Height: hc = 83.20550294338

Median: ma = 158.1143883008
Median: mb = 125
Median: mc = 90.13987818866

Inradius: r = 34.86112181134
Circumradius: R = 90.13987818866

Vertex coordinates: A[180.2787563773; 0] B[0; 0] C[55.47700196225; 83.20550294338]
Centroid: CG[78.58325277986; 27.73550098113]
Coordinates of the circumscribed circle: U[90.13987818866; -0]
Coordinates of the inscribed circle: I[65.13987818866; 34.86112181134]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.3109932474° = 146°18'36″ = 0.58880026035 rad
∠ B' = β' = 123.6990067526° = 123°41'24″ = 0.98327937232 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     