# Triangle calculator ASA

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

### Acute scalene triangle.

Sides: a = 247.7099088639   b = 183.7087504454   c = 184

Area: T = 16828.83331473
Perimeter: p = 615.4176593093
Semiperimeter: s = 307.7088296546

Angle ∠ A = α = 84.7° = 84°42' = 1.47882938764 rad
Angle ∠ B = β = 47.6° = 47°36' = 0.83107767239 rad
Angle ∠ C = γ = 47.7° = 47°42' = 0.83325220532 rad

Height: ha = 135.8765782675
Height: hb = 183.2133344466
Height: hc = 182.9222099427

Median: ma = 135.8765956106
Median: mb = 197.9166104698
Median: mc = 197.7122214831

Inradius: r = 54.69108657847
Circumradius: R = 124.3866333436

Vertex coordinates: A[184; 0] B[0; 0] C[167.0310829895; 182.9222099427]
Centroid: CG[117.0110276632; 60.97440331423]
Coordinates of the circumscribed circle: U[92; 83.71435589124]
Coordinates of the inscribed circle: I[124.0010792092; 54.69108657847]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 95.3° = 95°18' = 1.47882938764 rad
∠ B' = β' = 132.4° = 132°24' = 0.83107767239 rad
∠ C' = γ' = 132.3° = 132°18' = 0.83325220532 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    