# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=19.01097654116 and with side c=10.57435129102

### #1 Acute scalene triangle.

Sides: a = 35   b = 32   c = 19.01097654116

Area: T = 301.502222239
Perimeter: p = 86.01097654116
Semiperimeter: s = 43.00548827058

Angle ∠ A = α = 82.42554296273° = 82°25'32″ = 1.43985951344 rad
Angle ∠ B = β = 65° = 1.13444640138 rad
Angle ∠ C = γ = 32.57545703727° = 32°34'28″ = 0.56985335054 rad

Height: ha = 17.22986984223
Height: hb = 18.84438888994
Height: hc = 31.72107725463

Median: ma = 19.65879650652
Median: mb = 23.17772645173
Median: mc = 32.15883147063

Inradius: r = 7.01108834956
Circumradius: R = 17.65440467034

Vertex coordinates: A[19.01097654116; 0] B[0; 0] C[14.79216391609; 31.72107725463]
Centroid: CG[11.26771348575; 10.57435908488]
Coordinates of the circumscribed circle: U[9.50548827058; 14.87769139863]
Coordinates of the inscribed circle: I[11.00548827058; 7.01108834956]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 97.57545703727° = 97°34'28″ = 1.43985951344 rad
∠ B' = β' = 115° = 1.13444640138 rad
∠ C' = γ' = 147.4255429627° = 147°25'32″ = 0.56985335054 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 = 35   b = 32   c = 10.57435129102

Area: T = 167.769999902
Perimeter: p = 77.57435129102
Semiperimeter: s = 38.78767564551

Angle ∠ A = α = 97.57545703727° = 97°34'28″ = 1.70329975192 rad
Angle ∠ B = β = 65° = 1.13444640138 rad
Angle ∠ C = γ = 17.42554296273° = 17°25'32″ = 0.30441311206 rad

Height: ha = 9.58328570869
Height: hb = 10.48112499387
Height: hc = 31.72107725463

Median: ma = 16.17655861604
Median: mb = 20.30876238795
Median: mc = 33.11441994646

Inradius: r = 4.32436407049
Circumradius: R = 17.65440467034

Vertex coordinates: A[10.57435129102; 0] B[0; 0] C[14.79216391609; 31.72107725463]
Centroid: CG[8.45550506904; 10.57435908488]
Coordinates of the circumscribed circle: U[5.28767564551; 16.844385856]
Coordinates of the inscribed circle: I[6.78767564551; 4.32436407049]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 82.42554296273° = 82°25'32″ = 1.70329975192 rad
∠ B' = β' = 115° = 1.13444640138 rad
∠ C' = γ' = 162.5754570373° = 162°34'28″ = 0.30441311206 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    