# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=32.62200023248 and with side c=4.21441505274

### #1 Obtuse scalene triangle.

Sides: a = 20.16   b = 16.4   c = 32.62200023248

Area: T = 133.7398922446
Perimeter: p = 69.18800023248
Semiperimeter: s = 34.59900011624

Angle ∠ A = α = 29.99992364436° = 29°59'57″ = 0.5243585449 rad
Angle ∠ B = β = 24° = 0.41988790205 rad
Angle ∠ C = γ = 126.0010763556° = 126°3″ = 2.19991281841 rad

Height: ha = 13.26877502427
Height: hb = 16.31096246886
Height: hc = 8.21998107244

Median: ma = 23.76877486488
Median: mb = 25.84657941614
Median: mc = 8.46662070659

Inradius: r = 3.86664041039
Circumradius: R = 20.16604653517

Vertex coordinates: A[32.62200023248; 0] B[0; 0] C[18.41770764261; 8.21998107244]
Centroid: CG[17.01223595836; 2.73332702415]
Coordinates of the circumscribed circle: U[16.31100011624; -11.85502415706]
Coordinates of the inscribed circle: I[18.19900011624; 3.86664041039]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0010763556° = 150°3″ = 0.5243585449 rad
∠ B' = β' = 156° = 0.41988790205 rad
∠ C' = γ' = 53.99992364436° = 53°59'57″ = 2.19991281841 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 = 20.16   b = 16.4   c = 4.21441505274

Area: T = 17.27876183443
Perimeter: p = 40.77441505274
Semiperimeter: s = 20.38770752637

Angle ∠ A = α = 150.0010763556° = 150°3″ = 2.61880072046 rad
Angle ∠ B = β = 24° = 0.41988790205 rad
Angle ∠ C = γ = 5.99992364437° = 5°59'57″ = 0.10547064285 rad

Height: ha = 1.71440494389
Height: hb = 2.10770266274
Height: hc = 8.21998107244

Median: ma = 6.46216663744
Median: mb = 12.03554614508
Median: mc = 18.25552193587

Inradius: r = 0.84774790092
Circumradius: R = 20.16604653517

Vertex coordinates: A[4.21441505274; 0] B[0; 0] C[18.41770764261; 8.21998107244]
Centroid: CG[7.54437423178; 2.73332702415]
Coordinates of the circumscribed circle: U[2.10770752637; 20.0550052295]
Coordinates of the inscribed circle: I[3.98770752637; 0.84774790092]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 29.99992364436° = 29°59'57″ = 2.61880072046 rad
∠ B' = β' = 156° = 0.41988790205 rad
∠ C' = γ' = 174.0010763556° = 174°3″ = 0.10547064285 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    