# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=112.6298611148 and with side c=71.2166451293

### #1 Acute scalene triangle.

Sides: a = 105.1   b = 55   c = 112.6298611148

Area: T = 2869.411046718
Perimeter: p = 272.7298611148
Semiperimeter: s = 136.3644305574

Angle ∠ A = α = 67.88545444666° = 67°53'4″ = 1.18548088122 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 83.11554555334° = 83°6'56″ = 1.45106383584 rad

Height: ha = 54.60334341994
Height: hb = 104.3422198806
Height: hc = 50.95334910879

Median: ma = 71.36994579251
Median: mb = 105.4010934647
Median: mc = 62.16327218495

Inradius: r = 21.04222401603
Circumradius: R = 56.72332968398

Vertex coordinates: A[112.6298611148; 0] B[0; 0] C[91.92325312204; 50.95334910879]
Centroid: CG[68.18437141227; 16.98444970293]
Coordinates of the circumscribed circle: U[56.31443055738; 6.79993670373]
Coordinates of the inscribed circle: I[81.36443055738; 21.04222401603]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.1155455533° = 112°6'56″ = 1.18548088122 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 96.88545444666° = 96°53'4″ = 1.45106383584 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 = 105.1   b = 55   c = 71.2166451293

Area: T = 1814.363340814
Perimeter: p = 231.3166451293
Semiperimeter: s = 115.6588225647

Angle ∠ A = α = 112.1155455533° = 112°6'56″ = 1.95767838414 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 38.88545444666° = 38°53'4″ = 0.67986633291 rad

Height: ha = 34.52664207067
Height: hb = 65.97768512049
Height: hc = 50.95334910879

Median: ma = 35.87332346937
Median: mb = 85.45655233287
Median: mc = 75.94444485549

Inradius: r = 15.6877283788
Circumradius: R = 56.72332968398

Vertex coordinates: A[71.2166451293; 0] B[0; 0] C[91.92325312204; 50.95334910879]
Centroid: CG[54.38796608378; 16.98444970293]
Coordinates of the circumscribed circle: U[35.60882256465; 44.15441240506]
Coordinates of the inscribed circle: I[60.65882256465; 15.6877283788]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 67.88545444666° = 67°53'4″ = 1.95767838414 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 141.1155455533° = 141°6'56″ = 0.67986633291 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    