# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 105   b = 94   c = 128.1921984823

Area: T = 4860.026626112
Perimeter: p = 327.1921984823
Semiperimeter: s = 163.5965992411

Angle ∠ A = α = 53.76989611794° = 53°46'8″ = 0.9388445408 rad
Angle ∠ B = β = 46.23110388206° = 46°13'52″ = 0.8076883844 rad
Angle ∠ C = γ = 80° = 1.39662634016 rad

Height: ha = 92.57219287831
Height: hb = 103.4054814066
Height: hc = 75.82441830459

Median: ma = 99.39898510233
Median: mb = 107.3321693765
Median: mc = 76.3033366615

Inradius: r = 29.70774897097
Circumradius: R = 65.08547764099

Vertex coordinates: A[128.1921984823; 0] B[0; 0] C[72.63439677109; 75.82441830459]
Centroid: CG[66.9421984178; 25.2754727682]
Coordinates of the circumscribed circle: U[64.09659924115; 11.30218528174]
Coordinates of the inscribed circle: I[69.59659924115; 29.70774897097]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.2311038821° = 126°13'52″ = 0.9388445408 rad
∠ B' = β' = 133.7698961179° = 133°46'8″ = 0.8076883844 rad
∠ C' = γ' = 100° = 1.39662634016 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    