Triangle calculator SAS

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

Right scalene triangle.

Sides: a = 178   b = 201   c = 268.4866498729

Area: T = 17889
Perimeter: p = 647.4866498729
Semiperimeter: s = 323.7433249365

Angle ∠ A = α = 41.52772064314° = 41°31'38″ = 0.72547864814 rad
Angle ∠ B = β = 48.47327935686° = 48°28'22″ = 0.84660098454 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 201
Height: hb = 178
Height: hc = 133.2588097406

Median: ma = 219.8232655793
Median: mb = 204.4121961489
Median: mc = 134.2433249365

Inradius: r = 55.25767506353
Circumradius: R = 134.2433249365

Vertex coordinates: A[268.4866498729; 0] B[0; 0] C[118.01096584; 133.2588097406]
Centroid: CG[128.8322052376; 44.41993658021]
Coordinates of the circumscribed circle: U[134.2433249365; -0]
Coordinates of the inscribed circle: I[122.7433249365; 55.25767506353]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.4732793569° = 138°28'22″ = 0.72547864814 rad
∠ B' = β' = 131.5277206431° = 131°31'38″ = 0.84660098454 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     