# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=36.13297033496 and with side c=12.87702966504

### #1 Acute scalene triangle.

Sides: a = 49   b = 44   c = 36.13297033496

Area: T = 766.5866402833
Perimeter: p = 129.132970335
Semiperimeter: s = 64.56548516748

Angle ∠ A = α = 74.67439575402° = 74°40'26″ = 1.30333064246 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 45.32660424598° = 45°19'34″ = 0.79110886778 rad

Height: ha = 31.2899240932
Height: hb = 34.84548364924
Height: hc = 42.43552447854

Median: ma = 31.94441345487
Median: mb = 37.00224017067
Median: mc = 42.92204046342

Inradius: r = 11.87331226503
Circumradius: R = 25.40334118443

Vertex coordinates: A[36.13297033496; 0] B[0; 0] C[24.5; 42.43552447854]
Centroid: CG[20.21099011165; 14.14550815951]
Coordinates of the circumscribed circle: U[18.06548516748; 17.8660416213]
Coordinates of the inscribed circle: I[20.56548516748; 11.87331226503]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105.326604246° = 105°19'34″ = 1.30333064246 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 134.674395754° = 134°40'26″ = 0.79110886778 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 = 49   b = 44   c = 12.87702966504

Area: T = 273.077709441
Perimeter: p = 105.877029665
Semiperimeter: s = 52.93551483252

Angle ∠ A = α = 105.326604246° = 105°19'34″ = 1.8388286229 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 14.67439575402° = 14°40'26″ = 0.25661088734 rad

Height: ha = 11.14660038535
Height: hb = 12.41325952005
Height: hc = 42.43552447854

Median: ma = 21.22766876345
Median: mb = 28.27222879855
Median: mc = 46.12203736545

Inradius: r = 5.15987102908
Circumradius: R = 25.40334118443

Vertex coordinates: A[12.87702966504; 0] B[0; 0] C[24.5; 42.43552447854]
Centroid: CG[12.45767655501; 14.14550815951]
Coordinates of the circumscribed circle: U[6.43551483252; 24.57548285725]
Coordinates of the inscribed circle: I[8.93551483252; 5.15987102908]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 74.67439575402° = 74°40'26″ = 1.8388286229 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 165.326604246° = 165°19'34″ = 0.25661088734 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    