# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=9.46992358985 and with side c=6.62111889399

### #1 Acute scalene triangle.

Sides: a = 8.74   b = 3.7   c = 9.46992358985

Area: T = 16.16986732488
Perimeter: p = 21.90992358985
Semiperimeter: s = 10.95546179492

Angle ∠ A = α = 67.36442549049° = 67°21'51″ = 1.17657280462 rad
Angle ∠ B = β = 23° = 0.4011425728 rad
Angle ∠ C = γ = 89.63657450951° = 89°38'9″ = 1.56444388794 rad

Height: ha = 3.76999252285
Height: hb = 8.74398233777
Height: hc = 3.4154990063

Median: ma = 5.70880044018
Median: mb = 8.92221361932
Median: mc = 4.756627931

Inradius: r = 1.47659687032
Circumradius: R = 4.73547136307

Vertex coordinates: A[9.46992358985; 0] B[0; 0] C[8.04552124192; 3.4154990063]
Centroid: CG[5.83881494392; 1.1388330021]
Coordinates of the circumscribed circle: U[4.73546179492; 0.03301004901]
Coordinates of the inscribed circle: I[7.25546179492; 1.47659687032]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.6365745095° = 112°38'9″ = 1.17657280462 rad
∠ B' = β' = 157° = 0.4011425728 rad
∠ C' = γ' = 90.36442549049° = 90°21'51″ = 1.56444388794 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 = 8.74   b = 3.7   c = 6.62111889399

Area: T = 11.30656472174
Perimeter: p = 19.06111889399
Semiperimeter: s = 9.53105944699

Angle ∠ A = α = 112.6365745095° = 112°38'9″ = 1.96658646073 rad
Angle ∠ B = β = 23° = 0.4011425728 rad
Angle ∠ C = γ = 44.36442549049° = 44°21'51″ = 0.77443023183 rad

Height: ha = 2.58771046264
Height: hb = 6.11111606581
Height: hc = 3.4154990063

Median: ma = 3.10993683424
Median: mb = 7.52993672701
Median: mc = 5.8387701967

Inradius: r = 1.18662478519
Circumradius: R = 4.73547136307

Vertex coordinates: A[6.62111889399; 0] B[0; 0] C[8.04552124192; 3.4154990063]
Centroid: CG[4.8898800453; 1.1388330021]
Coordinates of the circumscribed circle: U[3.31105944699; 3.38548895729]
Coordinates of the inscribed circle: I[5.83105944699; 1.18662478519]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 67.36442549049° = 67°21'51″ = 1.96658646073 rad
∠ B' = β' = 157° = 0.4011425728 rad
∠ C' = γ' = 135.6365745095° = 135°38'9″ = 0.77443023183 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    