# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse scalene triangle.

Sides: a = 33   b = 45   c = 18.26598906788

Area: T = 260.9233231769
Perimeter: p = 96.26598906788
Semiperimeter: s = 48.13299453394

Angle ∠ A = α = 39.42663110069° = 39°25'35″ = 0.6888118939 rad
Angle ∠ B = β = 120° = 2.09443951024 rad
Angle ∠ C = γ = 20.57436889931° = 20°34'25″ = 0.35990786122 rad

Height: ha = 15.81435291981
Height: hb = 11.59765880786
Height: hc = 28.57988383249

Median: ma = 30.11658065441
Median: mb = 14.3166487132
Median: mc = 38.38880723415

Vertex coordinates: A[18.26598906788; 0] B[0; 0] C[-16.5; 28.57988383249]
Centroid: CG[0.58766302263; 9.52662794416]
Coordinates of the circumscribed circle: U[9.13299453394; 24.32437352826]
Coordinates of the inscribed circle: I[3.13299453394; 5.42112243527]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.5743688993° = 140°34'25″ = 0.6888118939 rad
∠ B' = β' = 60° = 2.09443951024 rad
∠ C' = γ' = 159.4266311007° = 159°25'35″ = 0.35990786122 rad

# How did we calculate this triangle?

### 1. Use Law of Cosines 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. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    