Triangle calculator SSA

Please enter two sides and a non-included angle
°

Right scalene triangle.

Sides: a = 210   b = 560   c = 519.1343894097

Area: T = 54509.05988802
Perimeter: p = 1289.13438941
Semiperimeter: s = 644.5676947048

Angle ∠ A = α = 22.0244312837° = 22°1'28″ = 0.38443967745 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 67.9765687163° = 67°58'32″ = 1.18663995523 rad

Height: ha = 519.1343894097
Height: hb = 194.6755210286
Height: hc = 210

Median: ma = 529.6466108265
Median: mb = 280
Median: mc = 333.8798720496

Inradius: r = 84.56769470483
Circumradius: R = 280

Vertex coordinates: A[519.1343894097; 0] B[0; 0] C[-0; 210]
Centroid: CG[173.0454631366; 70]
Coordinates of the circumscribed circle: U[259.5676947048; 105]
Coordinates of the inscribed circle: I[84.56769470483; 84.56769470483]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.9765687163° = 157°58'32″ = 0.38443967745 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 112.0244312837° = 112°1'28″ = 1.18663995523 rad

How did we calculate this triangle?

1. Use 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     