# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Obtuse scalene triangle.

Sides: a = 100   b = 187.9398524157   c = 253.2098888624

Area: T = 8137.977681349
Perimeter: p = 541.1477412781
Semiperimeter: s = 270.574370639

Angle ∠ A = α = 20° = 0.34990658504 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 120° = 2.09443951024 rad

Height: ha = 162.765953627
Height: hb = 86.60325403784
Height: hc = 64.27987609687

Median: ma = 217.297660621
Median: mb = 168.0099370047
Median: mc = 81.43656132884

Inradius: r = 30.07767466361
Circumradius: R = 146.1990220008

Vertex coordinates: A[253.2098888624; 0] B[0; 0] C[76.60444443119; 64.27987609687]
Centroid: CG[109.9387777645; 21.42662536562]
Coordinates of the circumscribed circle: U[126.6044444312; -73.09551100041]
Coordinates of the inscribed circle: I[82.63551822333; 30.07767466361]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160° = 0.34990658504 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 60° = 2.09443951024 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    