# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=77.52224036152 and with side c=16.44768584634

### #1 Obtuse scalene triangle.

Sides: a = 50   b = 35   c = 77.52224036152

Area: T = 662.8565589886
Perimeter: p = 162.5222403615
Semiperimeter: s = 81.26112018076

Angle ∠ A = α = 29.24986185511° = 29°14'55″ = 0.51104846954 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 130.7511381449° = 130°45'5″ = 2.28220421078 rad

Height: ha = 26.51442235954
Height: hb = 37.87774622792
Height: hc = 17.10110071663

Median: ma = 54.70224819468
Median: mb = 62.83879784139
Median: mc = 18.97554903607

Inradius: r = 8.15770980387
Circumradius: R = 51.16765770029

Vertex coordinates: A[77.52224036152; 0] B[0; 0] C[46.98546310393; 17.10110071663]
Centroid: CG[41.50223448848; 5.77003357221]
Coordinates of the circumscribed circle: U[38.76112018076; -33.44004167133]
Coordinates of the inscribed circle: I[46.26112018076; 8.15770980387]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.7511381449° = 150°45'5″ = 0.51104846954 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 49.24986185511° = 49°14'55″ = 2.28220421078 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 = 50   b = 35   c = 16.44768584634

Area: T = 140.6298922222
Perimeter: p = 101.4476858463
Semiperimeter: s = 50.72334292317

Angle ∠ A = α = 150.7511381449° = 150°45'5″ = 2.63111079582 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 9.24986185511° = 9°14'55″ = 0.1611418845 rad

Height: ha = 5.62551568889
Height: hb = 8.03659384127
Height: hc = 17.10110071663

Median: ma = 11.07992407979
Median: mb = 32.84881289674
Median: mc = 42.36659676117

Inradius: r = 2.77224648028
Circumradius: R = 51.16765770029

Vertex coordinates: A[16.44768584634; 0] B[0; 0] C[46.98546310393; 17.10110071663]
Centroid: CG[21.14438298342; 5.77003357221]
Coordinates of the circumscribed circle: U[8.22334292317; 50.50114238795]
Coordinates of the inscribed circle: I[15.72334292317; 2.77224648028]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 29.24986185511° = 29°14'55″ = 2.63111079582 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 170.7511381449° = 170°45'5″ = 0.1611418845 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    