# Triangle calculator ASA

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### Obtuse scalene triangle.

Sides: a = 537.9533452899   b = 390.2688459837   c = 675

Area: T = 104915.4220208
Perimeter: p = 1603.222191274
Semiperimeter: s = 801.6110956368

Angle ∠ A = α = 52.8° = 52°48' = 0.92215338451 rad
Angle ∠ B = β = 35.3° = 35°18' = 0.6166101226 rad
Angle ∠ C = γ = 91.9° = 91°54' = 1.60439575826 rad

Height: ha = 390.0543896459
Height: hb = 537.6587694666
Height: hc = 310.8610504321

Median: ma = 481.2687863045
Median: mb = 578.3011038437
Median: mc = 327.0255142939

Vertex coordinates: A[675; 0] B[0; 0] C[439.0444034624; 310.8610504321]
Centroid: CG[371.3488011541; 103.6220168107]
Coordinates of the circumscribed circle: U[337.5; -11.19660281039]
Coordinates of the inscribed circle: I[411.3422496531; 130.8810721346]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.2° = 127°12' = 0.92215338451 rad
∠ B' = β' = 144.7° = 144°42' = 0.6166101226 rad
∠ C' = γ' = 88.1° = 88°6' = 1.60439575826 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    