# Triangle calculator ASA

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### Obtuse scalene triangle.

Sides: a = 2.78993958927   b = 5.40766271022   c = 6.5

Area: T = 7.42660528804
Perimeter: p = 14.69660229948
Semiperimeter: s = 7.34880114974

Angle ∠ A = α = 25° = 0.4366332313 rad
Angle ∠ B = β = 55° = 0.96599310886 rad
Angle ∠ C = γ = 100° = 1.7455329252 rad

Height: ha = 5.32444882879
Height: hb = 2.74770187013
Height: hc = 2.28549393478

Median: ma = 5.81334005496
Median: mb = 4.20880233563
Median: mc = 2.81884522409

Vertex coordinates: A[6.5; 0] B[0; 0] C[1.65999317557; 2.28549393478]
Centroid: CG[2.76999772519; 0.76216464493]
Coordinates of the circumscribed circle: U[3.25; -0.57330626873]
Coordinates of the inscribed circle: I[1.94113843952; 1.01106207486]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155° = 0.4366332313 rad
∠ B' = β' = 125° = 0.96599310886 rad
∠ C' = γ' = 80° = 1.7455329252 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    