# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=69.10109804877 and with side c=3.95107398893

### #1 Obtuse scalene triangle.

Sides: a = 47   b = 44   c = 69.10109804877

Area: T = 1021.936641747
Perimeter: p = 160.1010980488
Semiperimeter: s = 80.05504902438

Angle ∠ A = α = 42.23993030744° = 42°14'21″ = 0.73772149124 rad
Angle ∠ B = β = 39° = 0.68106784083 rad
Angle ∠ C = γ = 98.76106969256° = 98°45'39″ = 1.72436993329 rad

Height: ha = 43.48766560624
Height: hb = 46.45216553394
Height: hc = 29.57880583793

Median: ma = 52.94554696096
Median: mb = 54.84549883962
Median: mc = 29.64439475089

Inradius: r = 12.76661481442
Circumradius: R = 34.95883460394

Vertex coordinates: A[69.10109804877; 0] B[0; 0] C[36.52658601885; 29.57880583793]
Centroid: CG[35.20989468921; 9.85993527931]
Coordinates of the circumscribed circle: U[34.55504902438; -5.3244432526]
Coordinates of the inscribed circle: I[36.05504902438; 12.76661481442]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.7610696926° = 137°45'39″ = 0.73772149124 rad
∠ B' = β' = 141° = 0.68106784083 rad
∠ C' = γ' = 81.23993030744° = 81°14'21″ = 1.72436993329 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 = 47   b = 44   c = 3.95107398893

Area: T = 58.42876075431
Perimeter: p = 94.95107398893
Semiperimeter: s = 47.47553699446

Angle ∠ A = α = 137.7610696926° = 137°45'39″ = 2.40443777412 rad
Angle ∠ B = β = 39° = 0.68106784083 rad
Angle ∠ C = γ = 3.23993030744° = 3°14'21″ = 0.05765365041 rad

Height: ha = 2.4866281172
Height: hb = 2.65658003429
Height: hc = 29.57880583793

Median: ma = 20.58804317942
Median: mb = 25.06659963464
Median: mc = 45.48218415808

Inradius: r = 1.23106930438
Circumradius: R = 34.95883460394

Vertex coordinates: A[3.95107398893; 0] B[0; 0] C[36.52658601885; 29.57880583793]
Centroid: CG[13.49222000259; 9.85993527931]
Coordinates of the circumscribed circle: U[1.97553699446; 34.90224909053]
Coordinates of the inscribed circle: I[3.47553699446; 1.23106930438]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 42.23993030744° = 42°14'21″ = 2.40443777412 rad
∠ B' = β' = 141° = 0.68106784083 rad
∠ C' = γ' = 176.7610696926° = 176°45'39″ = 0.05765365041 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    