Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 232   b = 100   c = 171.2955300863

Area: T = 7761.915503376
Perimeter: p = 503.2955300863
Semiperimeter: s = 251.6487650432

Angle ∠ A = α = 115.0066302744° = 115°23″ = 2.00772386434 rad
Angle ∠ B = β = 22.99436972559° = 22°59'37″ = 0.40113157243 rad
Angle ∠ C = γ = 42° = 0.73330382858 rad

Height: ha = 66.91330606359
Height: hb = 155.2388300675
Height: hc = 90.62661292008

Median: ma = 78.83655252974
Median: mb = 197.6944309602
Median: mc = 156.7698874384

Inradius: r = 30.84443771299
Circumradius: R = 127.9988405121

Vertex coordinates: A[171.2955300863; 0] B[0; 0] C[213.5677096497; 90.62661292008]
Centroid: CG[128.2877465787; 30.20987097336]
Coordinates of the circumscribed circle: U[85.64876504317; 95.12113524351]
Coordinates of the inscribed circle: I[151.6487650432; 30.84443771299]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 64.99436972559° = 64°59'37″ = 2.00772386434 rad
∠ B' = β' = 157.0066302744° = 157°23″ = 0.40113157243 rad
∠ C' = γ' = 138° = 0.73330382858 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     