# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 9.201   b = 102.087   c = 100.7329891334

Area: T = 460.9521902755
Perimeter: p = 212.0187891334
Semiperimeter: s = 106.0098945667

Angle ∠ A = α = 5.14435494443° = 5°8'37″ = 0.0989771873 rad
Angle ∠ B = β = 95.90114505557° = 95°54'5″ = 1.67437960696 rad
Angle ∠ C = γ = 78.955° = 78°57'18″ = 1.37880247109 rad

Height: ha = 100.1966044507
Height: hb = 9.0310570058
Height: hc = 9.15222366727

Median: ma = 101.3066311197
Median: mb = 50.10113553945
Median: mc = 52.12108138169

Vertex coordinates: A[100.7329891334; 0] B[0; 0] C[-0.94660258382; 9.15222366727]
Centroid: CG[33.26112884987; 3.05107455576]
Coordinates of the circumscribed circle: U[50.36549456672; 9.83110111133]
Coordinates of the inscribed circle: I[3.92219456672; 4.34882358951]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 174.8566450556° = 174°51'23″ = 0.0989771873 rad
∠ B' = β' = 84.09985494443° = 84°5'55″ = 1.67437960696 rad
∠ C' = γ' = 101.045° = 101°2'42″ = 1.37880247109 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    