Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 227   b = 142   c = 333.7421612616

Area: T = 12700.36993159
Perimeter: p = 702.7421612616
Semiperimeter: s = 351.3710806308

Angle ∠ A = α = 32.41103180398° = 32°24'37″ = 0.56656667614 rad
Angle ∠ B = β = 19.59896819602° = 19°35'23″ = 0.34219044496 rad
Angle ∠ C = γ = 128° = 2.23440214426 rad

Height: ha = 111.8987527012
Height: hb = 178.8788441069
Height: hc = 76.10989947181

Median: ma = 229.9811481854
Median: mb = 276.4333051562
Median: mc = 89.44662632097

Inradius: r = 36.1455203551
Circumradius: R = 211.7622092768

Vertex coordinates: A[333.7421612616; 0] B[0; 0] C[213.8610751245; 76.10989947181]
Centroid: CG[182.5344121287; 25.3769664906]
Coordinates of the circumscribed circle: U[166.8710806308; -130.3743762452]
Coordinates of the inscribed circle: I[209.3710806308; 36.1455203551]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.598968196° = 147°35'23″ = 0.56656667614 rad
∠ B' = β' = 160.411031804° = 160°24'37″ = 0.34219044496 rad
∠ C' = γ' = 52° = 2.23440214426 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     