# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=44.40110221361 and with side c=16.83881258816

### #1 Acute scalene triangle.

Sides: a = 37.8   b = 26.1   c = 44.40110221361

Area: T = 492.0721554638
Perimeter: p = 108.3011022136
Semiperimeter: s = 54.1510511068

Angle ∠ A = α = 58.1287902397° = 58°7'40″ = 1.01545232841 rad
Angle ∠ B = β = 35.9° = 35°54' = 0.62765732015 rad
Angle ∠ C = γ = 85.9722097603° = 85°58'20″ = 1.5500496168 rad

Height: ha = 26.03655319914
Height: hb = 37.70766325393
Height: hc = 22.16548750846

Median: ma = 31.13106984079
Median: mb = 39.1133205997
Median: mc = 23.71099622167

Inradius: r = 9.08771082273
Circumradius: R = 22.2555482971

Vertex coordinates: A[44.40110221361; 0] B[0; 0] C[30.62195740089; 22.16548750846]
Centroid: CG[25.00768653816; 7.38882916949]
Coordinates of the circumscribed circle: U[22.2010511068; 1.56332755964]
Coordinates of the inscribed circle: I[28.0510511068; 9.08771082273]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.8722097603° = 121°52'20″ = 1.01545232841 rad
∠ B' = β' = 144.1° = 144°6' = 0.62765732015 rad
∠ C' = γ' = 94.0287902397° = 94°1'40″ = 1.5500496168 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 = 37.8   b = 26.1   c = 16.83881258816

Area: T = 186.6077478413
Perimeter: p = 80.73881258816
Semiperimeter: s = 40.36990629408

Angle ∠ A = α = 121.8722097603° = 121°52'20″ = 2.12770693695 rad
Angle ∠ B = β = 35.9° = 35°54' = 0.62765732015 rad
Angle ∠ C = γ = 22.2287902397° = 22°13'40″ = 0.38879500826 rad

Height: ha = 9.87334115562
Height: hb = 14.29994236331
Height: hc = 22.16548750846

Median: ma = 11.18773250423
Median: mb = 26.18992867716
Median: mc = 31.37110755187

Inradius: r = 4.62325367848
Circumradius: R = 22.2555482971

Vertex coordinates: A[16.83881258816; 0] B[0; 0] C[30.62195740089; 22.16548750846]
Centroid: CG[15.81992332968; 7.38882916949]
Coordinates of the circumscribed circle: U[8.41990629408; 20.60215994882]
Coordinates of the inscribed circle: I[14.26990629408; 4.62325367848]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 58.1287902397° = 58°7'40″ = 2.12770693695 rad
∠ B' = β' = 144.1° = 144°6' = 0.62765732015 rad
∠ C' = γ' = 157.7722097603° = 157°46'20″ = 0.38879500826 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    