# Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

### Obtuse scalene triangle.

Sides: a = 280.5098821904   b = 328.9587952376   c = 145

Area: T = 20225.4821979
Perimeter: p = 754.467677428
Semiperimeter: s = 377.233338714

Angle ∠ A = α = 58° = 1.01222909662 rad
Angle ∠ B = β = 96° = 1.67655160819 rad
Angle ∠ C = γ = 26° = 0.45437856055 rad

Height: ha = 144.2065674828
Height: hb = 122.9676973943
Height: hc = 278.9722165228

Median: ma = 212.0099121087
Median: mb = 151.0032536321
Median: mc = 296.9733091035

Inradius: r = 53.6155302008
Circumradius: R = 165.3854972371

Vertex coordinates: A[145; 0] B[0; 0] C[-29.32111560867; 278.9722165228]
Centroid: CG[38.56596146378; 92.99107217426]
Coordinates of the circumscribed circle: U[72.5; 148.6477028514]
Coordinates of the inscribed circle: I[48.27554347643; 53.6155302008]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122° = 1.01222909662 rad
∠ B' = β' = 84° = 1.67655160819 rad
∠ C' = γ' = 154° = 0.45437856055 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    