Triangle calculator SSA

Please enter two sides and a non-included angle
°

Acute scalene triangle.

Sides: a = 3.5   b = 4.2   c = 4.6577318352

Area: T = 7.05883730111
Perimeter: p = 12.3577318352
Semiperimeter: s = 6.1798659176

Angle ∠ A = α = 46.19440077316° = 46°11'38″ = 0.80662375296 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 73.80659922684° = 73°48'22″ = 1.28881575728 rad

Height: ha = 4.03333560064
Height: hb = 3.36111300053
Height: hc = 3.03110889132

Median: ma = 4.07546542327
Median: mb = 3.5444052358
Median: mc = 3.08658299438

Inradius: r = 1.14223794079
Circumradius: R = 2.42548711306

Vertex coordinates: A[4.6577318352; 0] B[0; 0] C[1.75; 3.03110889132]
Centroid: CG[2.1365772784; 1.01103629711]
Coordinates of the circumscribed circle: U[2.3298659176; 0.676627394]
Coordinates of the inscribed circle: I[1.9798659176; 1.14223794079]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.8065992268° = 133°48'22″ = 0.80662375296 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 106.1944007732° = 106°11'38″ = 1.28881575728 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     