# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Obtuse scalene triangle.

Sides: a = 40   b = 15.75553872771   c = 32.21986717611

Area: T = 241.3876537456
Perimeter: p = 87.97440590382
Semiperimeter: s = 43.98770295191

Angle ∠ A = α = 108° = 1.88549555922 rad
Angle ∠ B = β = 22° = 0.38439724354 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 12.06993268728
Height: hb = 30.64217777248
Height: hc = 14.98442637366

Median: ma = 15.5932867573
Median: mb = 35.45436789059
Median: mc = 25.78799420405

Vertex coordinates: A[32.21986717611; 0] B[0; 0] C[37.08773541827; 14.98442637366]
Centroid: CG[23.10220086479; 4.99547545789]
Coordinates of the circumscribed circle: U[16.10993358805; 13.51773377959]
Coordinates of the inscribed circle: I[28.2321642242; 5.48876753465]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 72° = 1.88549555922 rad
∠ B' = β' = 158° = 0.38439724354 rad
∠ C' = γ' = 130° = 0.8732664626 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    