# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Obtuse scalene triangle.

Sides: a = 42.1   b = 36.23767988226   c = 64.25878119967

Area: T = 716.7833074168
Perimeter: p = 142.5954610819
Semiperimeter: s = 71.29773054097

Angle ∠ A = α = 38° = 0.66332251158 rad
Angle ∠ B = β = 32° = 0.55985053606 rad
Angle ∠ C = γ = 110° = 1.92198621772 rad

Height: ha = 34.05114524545
Height: hb = 39.56110593351
Height: hc = 22.31096010242

Median: ma = 47.72882253573
Median: mb = 51.21099775832
Median: mc = 22.59440521776

Vertex coordinates: A[64.25878119967; 0] B[0; 0] C[35.70328248482; 22.31096010242]
Centroid: CG[33.32202122816; 7.43765336747]
Coordinates of the circumscribed circle: U[32.12989059983; -11.69439654429]
Coordinates of the inscribed circle: I[35.0610506587; 10.05334384862]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142° = 0.66332251158 rad
∠ B' = β' = 148° = 0.55985053606 rad
∠ C' = γ' = 70° = 1.92198621772 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    