# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=179.9122328667 and with side c=85.09114448912

### #1 Obtuse scalene triangle.

Sides: a = 153   b = 90   c = 179.9122328667

Area: T = 6881.647657151
Perimeter: p = 422.9122328667
Semiperimeter: s = 211.4566164333

Angle ∠ A = α = 58.21216693829° = 58°12'42″ = 1.01659852938 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 91.78883306171° = 91°47'18″ = 1.60220085842 rad

Height: ha = 89.95661643334
Height: hb = 152.9255479367
Height: hc = 76.5

Median: ma = 119.9254863991
Median: mb = 160.8222022756
Median: mc = 87.53550701057

Inradius: r = 32.54440811489
Circumradius: R = 90

Vertex coordinates: A[179.9122328667; 0] B[0; 0] C[132.5021886779; 76.5]
Centroid: CG[104.1388071815; 25.5]
Coordinates of the circumscribed circle: U[89.95661643334; -2.80986470795]
Coordinates of the inscribed circle: I[121.4566164333; 32.54440811489]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.7888330617° = 121°47'18″ = 1.01659852938 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 88.21216693829° = 88°12'42″ = 1.60220085842 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 = 153   b = 90   c = 85.09114448912

Area: T = 3254.748776709
Perimeter: p = 328.0911444891
Semiperimeter: s = 164.0465722446

Angle ∠ A = α = 121.7888330617° = 121°47'18″ = 2.12656073598 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 28.21216693829° = 28°12'42″ = 0.49223865182 rad

Height: ha = 42.54657224456
Height: hb = 72.32877281575
Height: hc = 76.5

Median: ma = 42.63883277913
Median: mb = 115.3254659101
Median: mc = 118.0866246031

Inradius: r = 19.84404915323
Circumradius: R = 90

Vertex coordinates: A[85.09114448912; 0] B[0; 0] C[132.5021886779; 76.5]
Centroid: CG[72.53111105567; 25.5]
Coordinates of the circumscribed circle: U[42.54657224456; 79.30986470795]
Coordinates of the inscribed circle: I[74.04657224456; 19.84404915323]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 58.21216693829° = 58°12'42″ = 2.12656073598 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 151.7888330617° = 151°47'18″ = 0.49223865182 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    