# Triangle calculator ASA

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### Right scalene triangle.

Sides: a = 3.99993813446   b = 5.99990873357   c = 7.21

Area: T = 11.99663189873
Perimeter: p = 17.20884686802
Semiperimeter: s = 8.60442343401

Angle ∠ A = α = 33.69° = 33°41'24″ = 0.5888001425 rad
Angle ∠ B = β = 56.31° = 56°18'36″ = 0.98327949018 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 5.99990873357
Height: hb = 3.99993813446
Height: hc = 3.32876890395

Median: ma = 6.32435916729
Median: mb = 4.99992312763
Median: mc = 3.605

Vertex coordinates: A[7.21; 0] B[0; 0] C[2.21884536948; 3.32876890395]
Centroid: CG[3.14328178983; 1.10992296798]
Coordinates of the circumscribed circle: U[3.605; -0]
Coordinates of the inscribed circle: I[2.60551470045; 1.39442343401]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.31° = 146°18'36″ = 0.5888001425 rad
∠ B' = β' = 123.69° = 123°41'24″ = 0.98327949018 rad
∠ C' = γ' = 90° = 1.57107963268 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    