# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 12.7   b = 5.8   c = 9.31986327517

Area: T = 25.0243823236
Perimeter: p = 27.81986327517
Semiperimeter: s = 13.90993163759

Angle ∠ A = α = 112.1832799719° = 112°10'58″ = 1.95879592192 rad
Angle ∠ B = β = 25.01772002808° = 25°1'2″ = 0.43766325145 rad
Angle ∠ C = γ = 42.8° = 42°48' = 0.74770009199 rad

Height: ha = 3.94107595647
Height: hb = 8.62989045641
Height: hc = 5.37107070345

Median: ma = 4.46327299023
Median: mb = 10.75442297809
Median: mc = 8.70437791165

Inradius: r = 1.79990692396
Circumradius: R = 6.85875701045

Vertex coordinates: A[9.31986327517; 0] B[0; 0] C[11.50884971195; 5.37107070345]
Centroid: CG[6.94223766237; 1.79902356782]
Coordinates of the circumscribed circle: U[4.65993163759; 5.03216039836]
Coordinates of the inscribed circle: I[8.10993163759; 1.79990692396]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 67.81772002808° = 67°49'2″ = 1.95879592192 rad
∠ B' = β' = 154.9832799719° = 154°58'58″ = 0.43766325145 rad
∠ C' = γ' = 137.2° = 137°12' = 0.74770009199 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    