# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=507.5087925929 and with side c=62.49223370368

### #1 Obtuse scalene triangle.

Sides: a = 336.066   b = 285   c = 507.5087925929

Area: T = 45190.49770472
Perimeter: p = 1128.574392593
Semiperimeter: s = 564.2876962965

Angle ∠ A = α = 38.67326200297° = 38°40'21″ = 0.67549645499 rad
Angle ∠ B = β = 32° = 0.55985053606 rad
Angle ∠ C = γ = 109.327737997° = 109°19'39″ = 1.90881227431 rad

Height: ha = 268.9388226701
Height: hb = 317.1266295068
Height: hc = 178.0887847454

Median: ma = 375.7122068413
Median: mb = 406.1365538482
Median: mc = 180.8088197983

Inradius: r = 80.08442479327
Circumradius: R = 268.9098887859

Vertex coordinates: A[507.5087925929; 0] B[0; 0] C[2855.000131483; 178.0887847454]
Centroid: CG[264.1699352471; 59.36326158179]
Coordinates of the circumscribed circle: U[253.7543962965; -898.9995294895]
Coordinates of the inscribed circle: I[279.2876962964; 80.08442479327]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.327737997° = 141°19'39″ = 0.67549645499 rad
∠ B' = β' = 148° = 0.55985053606 rad
∠ C' = γ' = 70.67326200297° = 70°40'21″ = 1.90881227431 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 = 336.066   b = 285   c = 62.49223370368

Area: T = 5564.563289262
Perimeter: p = 683.5588337037
Semiperimeter: s = 341.7799168518

Angle ∠ A = α = 141.327737997° = 141°19'39″ = 2.46766281037 rad
Angle ∠ B = β = 32° = 0.55985053606 rad
Angle ∠ C = γ = 6.67326200297° = 6°40'21″ = 0.11664591893 rad

Height: ha = 33.11658932628
Height: hb = 39.05495641587
Height: hc = 178.0887847454

Median: ma = 119.7088216114
Median: mb = 195.2354664627
Median: mc = 310.0110250042

Inradius: r = 16.28111645799
Circumradius: R = 268.9098887859

Vertex coordinates: A[62.49223370368; 0] B[0; 0] C[2855.000131483; 178.0887847454]
Centroid: CG[115.831082284; 59.36326158179]
Coordinates of the circumscribed circle: U[31.24661685184; 267.0877376943]
Coordinates of the inscribed circle: I[56.77991685184; 16.28111645799]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 38.67326200297° = 38°40'21″ = 2.46766281037 rad
∠ B' = β' = 148° = 0.55985053606 rad
∠ C' = γ' = 173.327737997° = 173°19'39″ = 0.11664591893 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    