# Triangle calculator ASA

°
°

### Obtuse scalene triangle.

Sides: a = 32.63551822333   b = 64.27987609687   c = 50

Area: T = 803.4854512108
Perimeter: p = 146.9143943202
Semiperimeter: s = 73.4576971601

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

Height: ha = 49.24403876506
Height: hb = 25
Height: hc = 32.13993804843

Median: ma = 55.22333263756
Median: mb = 27.37986008003
Median: mc = 44.42330471212

Vertex coordinates: A[50; 0] B[0; 0] C[-5.66770399226; 32.13993804843]
Centroid: CG[14.77876533591; 10.71331268281]
Coordinates of the circumscribed circle: U[25; 20.97774907794]
Coordinates of the inscribed circle: I[9.17882106323; 10.93881654947]

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