# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=93.37992172023 and with side c=20.93661360972

### #1 Obtuse scalene triangle.

Sides: a = 66   b = 49   c = 93.37992172023

Area: T = 1540.757708384
Perimeter: p = 208.3799217202
Semiperimeter: s = 104.1989608601

Angle ∠ A = α = 42.33554018762° = 42°20'7″ = 0.73988921529 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 107.6654598124° = 107°39'53″ = 1.87991017251 rad

Height: ha = 46.69896086012
Height: hb = 62.88880442383
Height: hc = 33

Median: ma = 66.86880723713
Median: mb = 77.05657532093
Median: mc = 34.62105206297

Vertex coordinates: A[93.37992172023; 0] B[0; 0] C[57.15876766498; 33]
Centroid: CG[50.17989646174; 11]
Coordinates of the circumscribed circle: U[46.69896086012; -14.86987742827]
Coordinates of the inscribed circle: I[55.19896086012; 14.78880110553]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.6654598124° = 137°39'53″ = 0.73988921529 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 72.33554018762° = 72°20'7″ = 1.87991017251 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   ### 9. Calculation of medians ### #2 Obtuse scalene triangle.

Sides: a = 66   b = 49   c = 20.93661360972

Area: T = 345.4466245604
Perimeter: p = 135.9366136097
Semiperimeter: s = 67.96880680486

Angle ∠ A = α = 137.6654598124° = 137°39'53″ = 2.40327005007 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 12.33554018762° = 12°20'7″ = 0.21552933773 rad

Height: ha = 10.46880680486
Height: hb = 14.10998467594
Height: hc = 33

Median: ma = 18.18440836266
Median: mb = 42.39899858143
Median: mc = 57.17444659033

Vertex coordinates: A[20.93661360972; 0] B[0; 0] C[57.15876766498; 33]
Centroid: CG[26.03112709157; 11]
Coordinates of the circumscribed circle: U[10.46880680486; 47.86987742827]
Coordinates of the inscribed circle: I[18.96880680486; 5.08224785156]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 42.33554018762° = 42°20'7″ = 2.40327005007 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 167.6654598124° = 167°39'53″ = 0.21552933773 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    