# Triangle calculator ASA

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### Obtuse scalene triangle.

Sides: a = 10.4066141637   b = 6.46109434604   c = 14.6

Area: T = 29.68218252948
Perimeter: p = 31.46770850974
Semiperimeter: s = 15.73435425487

Angle ∠ A = α = 39° = 0.68106784083 rad
Angle ∠ B = β = 23° = 0.4011425728 rad
Angle ∠ C = γ = 118° = 2.05994885174 rad

Height: ha = 5.70546744759
Height: hb = 9.18880777093
Height: hc = 4.0666003465

Median: ma = 10.01989794519
Median: mb = 12.25991983541
Median: mc = 4.66110929066

Vertex coordinates: A[14.6; 0] B[0; 0] C[9.57989038826; 4.0666003465]
Centroid: CG[8.06596346275; 1.35553344883]
Coordinates of the circumscribed circle: U[7.3; -3.88114788511]
Coordinates of the inscribed circle: I[9.27325990883; 1.88765316061]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141° = 0.68106784083 rad
∠ B' = β' = 157° = 0.4011425728 rad
∠ C' = γ' = 62° = 2.05994885174 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    