# Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

### Obtuse scalene triangle.

Sides: a = 288.4310727886   b = 186.2439820993   c = 146

Area: T = 11774.05443809
Perimeter: p = 620.6710548879
Semiperimeter: s = 310.335527444

Angle ∠ A = α = 120° = 2.09443951024 rad
Angle ∠ B = β = 34° = 0.59334119457 rad
Angle ∠ C = γ = 26° = 0.45437856055 rad

Height: ha = 81.64221639067
Height: hb = 126.4439708952
Height: hc = 161.2888416177

Median: ma = 84.86879224717
Median: mb = 208.7654998655
Median: mc = 231.5387854046

Inradius: r = 37.9439787548
Circumradius: R = 166.5265558388

Vertex coordinates: A[146; 0] B[0; 0] C[239.1219910497; 161.2888416177]
Centroid: CG[128.3733303499; 53.76328053922]
Coordinates of the circumscribed circle: U[73; 149.6722180435]
Coordinates of the inscribed circle: I[124.0955453446; 37.9439787548]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 60° = 2.09443951024 rad
∠ B' = β' = 146° = 0.59334119457 rad
∠ C' = γ' = 154° = 0.45437856055 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 a ### 3. By using the law of sines, we calculate last unknown side b 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    