# Triangle calculator ASA

°
°

### Obtuse scalene triangle.

Sides: a = 22.01217524755   b = 19.99769033079   c = 35.651104

Area: T = 197.7255419759
Perimeter: p = 77.66596957835
Semiperimeter: s = 38.83298478917

Angle ∠ A = α = 33.69° = 33°41'24″ = 0.5888001425 rad
Angle ∠ B = β = 30.26° = 30°15'36″ = 0.52881366317 rad
Angle ∠ C = γ = 116.05° = 116°3' = 2.02554545969 rad

Height: ha = 17.96554409597
Height: hb = 19.77656039237
Height: hc = 11.09222665796

Median: ma = 26.72765240114
Median: mb = 27.88988492876
Median: mc = 11.15656053715

Vertex coordinates: A[35.651104; 0] B[0; 0] C[19.0132597644; 11.09222665796]
Centroid: CG[18.2211212548; 3.69774221932]
Coordinates of the circumscribed circle: U[17.826552; -8.71333513552]
Coordinates of the inscribed circle: I[18.83329445838; 5.09220987461]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.31° = 146°18'36″ = 0.5888001425 rad
∠ B' = β' = 149.74° = 149°44'24″ = 0.52881366317 rad
∠ C' = γ' = 63.95° = 63°57' = 2.02554545969 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    