# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=9.30987374751 and with side c=1.95549804739

### #1 Obtuse scalene triangle.

Sides: a = 5.78   b = 3.9   c = 9.30987374751

Area: T = 6.05216897948
Perimeter: p = 18.98987374751
Semiperimeter: s = 9.49443687375

Angle ∠ A = α = 19.47546035165° = 19°28'29″ = 0.34398959519 rad
Angle ∠ B = β = 13° = 0.22768928028 rad
Angle ∠ C = γ = 147.5255396483° = 147°31'31″ = 2.57548038989 rad

Height: ha = 2.09440103096
Height: hb = 3.1033430664
Height: hc = 1.33002170941

Median: ma = 6.5255273687
Median: mb = 7.49985329692
Median: mc = 1.62766688831

Inradius: r = 0.63773978052
Circumradius: R = 8.6698552391

Vertex coordinates: A[9.30987374751; 0] B[0; 0] C[5.63218589745; 1.33002170941]
Centroid: CG[4.98801988165; 0.4333405698]
Coordinates of the circumscribed circle: U[4.65443687375; -7.3133046712]
Coordinates of the inscribed circle: I[5.59443687375; 0.63773978052]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.5255396483° = 160°31'31″ = 0.34398959519 rad
∠ B' = β' = 167° = 0.22768928028 rad
∠ C' = γ' = 32.47546035165° = 32°28'29″ = 2.57548038989 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 = 5.78   b = 3.9   c = 1.95549804739

Area: T = 1.27109495154
Perimeter: p = 11.63549804739
Semiperimeter: s = 5.81774902369

Angle ∠ A = α = 160.5255396483° = 160°31'31″ = 2.80216967017 rad
Angle ∠ B = β = 13° = 0.22768928028 rad
Angle ∠ C = γ = 6.47546035165° = 6°28'29″ = 0.11330031491 rad

Height: ha = 0.44397749188
Height: hb = 0.65217689822
Height: hc = 1.33002170941

Median: ma = 1.07988300731
Median: mb = 3.8498723727
Median: mc = 4.8332567934

Inradius: r = 0.21884704166
Circumradius: R = 8.6698552391

Vertex coordinates: A[1.95549804739; 0] B[0; 0] C[5.63218589745; 1.33002170941]
Centroid: CG[2.52989464828; 0.4333405698]
Coordinates of the circumscribed circle: U[0.97774902369; 8.61332638061]
Coordinates of the inscribed circle: I[1.91774902369; 0.21884704166]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 19.47546035165° = 19°28'29″ = 2.80216967017 rad
∠ B' = β' = 167° = 0.22768928028 rad
∠ C' = γ' = 173.5255396483° = 173°31'31″ = 0.11330031491 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    