# Triangle calculator ASA

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### Obtuse scalene triangle.

Sides: a = 13.03655662089   b = 44.1244353482   c = 54

Area: T = 206.8777066468
Perimeter: p = 111.1659919691
Semiperimeter: s = 55.58799598454

Angle ∠ A = α = 10° = 0.17545329252 rad
Angle ∠ B = β = 36° = 0.62883185307 rad
Angle ∠ C = γ = 134° = 2.33987411977 rad

Height: ha = 31.74404036238
Height: hb = 9.3777001594
Height: hc = 7.66221135729

Median: ma = 48.87773750165
Median: mb = 32.54995900073
Median: mc = 18.15105448484

Vertex coordinates: A[54; 0] B[0; 0] C[10.54659945943; 7.66221135729]
Centroid: CG[21.51553315314; 2.55440378576]
Coordinates of the circumscribed circle: U[27; -26.07435969198]
Coordinates of the inscribed circle: I[11.45656063635; 3.72221521398]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170° = 0.17545329252 rad
∠ B' = β' = 144° = 0.62883185307 rad
∠ C' = γ' = 46° = 2.33987411977 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    