# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=115.3698860353 and with side c=56.65330689478

### #1 Acute scalene triangle.

Sides: a = 105   b = 67   c = 115.3698860353

Area: T = 3474.075513882
Perimeter: p = 287.3698860353
Semiperimeter: s = 143.6844430177

Angle ∠ A = α = 64.01223407832° = 64°44″ = 1.11772261086 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 80.98876592168° = 80°59'16″ = 1.41435013068 rad

Height: ha = 66.17328597871
Height: hb = 103.7043735487
Height: hc = 60.22655258169

Median: ma = 78.37988043387
Median: mb = 105.0966322341
Median: mc = 66.5554537901

Inradius: r = 24.17985079605
Circumradius: R = 58.40554676533

Vertex coordinates: A[115.3698860353; 0] B[0; 0] C[86.01109646503; 60.22655258169]
Centroid: CG[67.12766083344; 20.07551752723]
Coordinates of the circumscribed circle: U[57.68444301765; 9.14990527935]
Coordinates of the inscribed circle: I[76.68444301765; 24.17985079605]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.9887659217° = 115°59'16″ = 1.11772261086 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 99.01223407832° = 99°44″ = 1.41435013068 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 = 105   b = 67   c = 56.65330689478

Area: T = 1705.988043326
Perimeter: p = 228.6533068948
Semiperimeter: s = 114.3276534474

Angle ∠ A = α = 115.9887659217° = 115°59'16″ = 2.0244366545 rad
Angle ∠ B = β = 35° = 0.61108652382 rad
Angle ∠ C = γ = 29.01223407832° = 29°44″ = 0.50663608704 rad

Height: ha = 32.49548653954
Height: hb = 50.92547890525
Height: hc = 60.22655258169

Median: ma = 33.06110815098
Median: mb = 77.42876120683
Median: mc = 83.39442890413

Inradius: r = 14.92219990015
Circumradius: R = 58.40554676533

Vertex coordinates: A[56.65330689478; 0] B[0; 0] C[86.01109646503; 60.22655258169]
Centroid: CG[47.5554677866; 20.07551752723]
Coordinates of the circumscribed circle: U[28.32765344739; 51.07664730233]
Coordinates of the inscribed circle: I[47.32765344739; 14.92219990015]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 64.01223407832° = 64°44″ = 2.0244366545 rad
∠ B' = β' = 145° = 0.61108652382 rad
∠ C' = γ' = 150.9887659217° = 150°59'16″ = 0.50663608704 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    