# Triangle calculator ASA

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### Right scalene triangle.

Sides: a = 0.04325426705   b = 9.75500928139   c = 9.75

Area: T = 0.20773955187
Perimeter: p = 19.54326354844
Semiperimeter: s = 9.77113177422

Angle ∠ A = α = 0.25° = 0°15' = 0.00443633231 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 89.75° = 89°45' = 1.56664330037 rad

Height: ha = 9.75
Height: hb = 0.04325422655
Height: hc = 0.04325426705

Median: ma = 9.75500232035
Median: mb = 4.87550464069
Median: mc = 4.87551856251

Vertex coordinates: A[9.75; 0] B[0; 0] C[-0; 0.04325426705]
Centroid: CG[3.25; 0.01441808902]
Coordinates of the circumscribed circle: U[4.875; 0.02112713353]
Coordinates of the inscribed circle: I[0.02112249283; 0.02112249283]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 179.75° = 179°45' = 0.00443633231 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 90.25° = 90°15' = 1.56664330037 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    