# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 736   b = 915   c = 184.084381849

Area: T = 17622.56331861
Perimeter: p = 1835.084381849
Semiperimeter: s = 917.5421909245

Angle ∠ A = α = 12.07883163573° = 12°4'42″ = 0.21108063885 rad
Angle ∠ B = β = 164.9221683643° = 164°55'18″ = 2.87884263875 rad
Angle ∠ C = γ = 3° = 0.05223598776 rad

Height: ha = 47.88773999623
Height: hb = 38.51992637948
Height: hc = 191.4622381981

Median: ma = 547.8432975783
Median: mb = 280.1522058916
Median: mc = 825.2220447482

Inradius: r = 19.20662760388
Circumradius: R = 1758.674445352

Vertex coordinates: A[184.084381849; 0] B[0; 0] C[-710.666036634; 191.4622381981]
Centroid: CG[-175.526551595; 63.82107939938]
Coordinates of the circumscribed circle: U[92.04219092449; 1756.26442513]
Coordinates of the inscribed circle: I[2.54219092449; 19.20662760388]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.9221683643° = 167°55'18″ = 0.21108063885 rad
∠ B' = β' = 15.07883163573° = 15°4'42″ = 2.87884263875 rad
∠ C' = γ' = 177° = 0.05223598776 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    