Triangle calculator SSA

Please enter two sides and a non-included angle
°

Right scalene triangle.

Sides: a = 23770.2   b = 25920   c = 10335.56992615

Area: T = 122839274.23
Perimeter: p = 60025.76992615
Semiperimeter: s = 30012.88546308

Angle ∠ A = α = 66.55000159207° = 66°30' = 1.16106442304 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 23.54999840793° = 23°30' = 0.41101520963 rad

Height: ha = 10335.56992615
Height: hb = 9478.339906098
Height: hc = 23770.2

Median: ma = 15750.54326564
Median: mb = 12960
Median: mc = 24325.46882592

Inradius: r = 4092.885463077
Circumradius: R = 12960

Vertex coordinates: A[10335.56992615; 0] B[0; 0] C[-0; 23770.2]
Centroid: CG[3445.198975385; 7923.4]
Coordinates of the circumscribed circle: U[5167.785463077; 11885.1]
Coordinates of the inscribed circle: I[4092.885463077; 4092.885463077]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 113.5499984079° = 113°30' = 1.16106442304 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 156.5500015921° = 156°30' = 0.41101520963 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     