# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Obtuse scalene triangle.

Sides: a = 112   b = 171.5943955259   c = 220.5976936675

Area: T = 9463.275522049
Perimeter: p = 504.1910891933
Semiperimeter: s = 252.0955445967

Angle ∠ A = α = 30° = 0.52435987756 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 100° = 1.7455329252 rad

Height: ha = 168.9877057509
Height: hb = 110.2988468337
Height: hc = 85.79769776293

Median: ma = 189.5219779906
Median: mb = 152.4554527203
Median: mc = 93.96600480156

Vertex coordinates: A[220.5976936675; 0] B[0; 0] C[71.99222122849; 85.79769776293]
Centroid: CG[97.53297163199; 28.59989925431]
Coordinates of the circumscribed circle: U[110.2988468337; -19.44985958987]
Coordinates of the inscribed circle: I[80.5011490708; 37.53884616101]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150° = 0.52435987756 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 80° = 1.7455329252 rad

# How did we calculate this triangle?

### 1. Calculate the third unknown inner angle ### 2. By using the law of sines, we calculate unknown side b ### 3. By using the law of sines, we calculate last unknown side c 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines    