Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 2.327   b = 2.853   c = 1.6366444377

Area: T = 1.90439671921
Perimeter: p = 6.8166444377
Semiperimeter: s = 3.40882221885

Angle ∠ A = α = 54.64884463084° = 54°38'54″ = 0.95437953192 rad
Angle ∠ B = β = 90.35215536916° = 90°21'6″ = 1.57769320962 rad
Angle ∠ C = γ = 35° = 0.61108652382 rad

Height: ha = 1.63664135729
Height: hb = 1.33547123674
Height: hc = 2.32769561971

Median: ma = 2.01437148133
Median: mb = 1.41882867656
Median: mc = 2.47113926135

Inradius: r = 0.55986393981
Circumradius: R = 1.42765268526

Vertex coordinates: A[1.6366444377; 0] B[0; 0] C[-0.01442778458; 2.32769561971]
Centroid: CG[0.5410722177; 0.77656520657]
Coordinates of the circumscribed circle: U[0.81882221885; 1.16985423876]
Coordinates of the inscribed circle: I[0.55552221885; 0.55986393981]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.3521553692° = 125°21'6″ = 0.95437953192 rad
∠ B' = β' = 89.64884463084° = 89°38'54″ = 1.57769320962 rad
∠ C' = γ' = 145° = 0.61108652382 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     