# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=171.0055087779 and with side c=36.84110091291

### #1 Obtuse scalene triangle.

Sides: a = 120   b = 90   c = 171.0055087779

Area: T = 5130.153263337
Perimeter: p = 381.0055087779
Semiperimeter: s = 190.503254389

Angle ∠ A = α = 41.81103148958° = 41°48'37″ = 0.73297276562 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 108.1989685104° = 108°11'23″ = 1.88882662218 rad

Height: ha = 85.50325438896
Height: hb = 114.0033391853
Height: hc = 60

Median: ma = 122.766550828
Median: mb = 140.7699573643
Median: mc = 62.76439624977

Inradius: r = 26.93295754725
Circumradius: R = 90

Vertex coordinates: A[171.0055087779; 0] B[0; 0] C[103.9233048454; 60]
Centroid: CG[91.64327120778; 20]
Coordinates of the circumscribed circle: U[85.50325438896; -28.09547501931]
Coordinates of the inscribed circle: I[100.503254389; 26.93295754725]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.1989685104° = 138°11'23″ = 0.73297276562 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 71.81103148958° = 71°48'37″ = 1.88882662218 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 ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians ### #2 Obtuse scalene triangle.

Sides: a = 120   b = 90   c = 36.84110091291

Area: T = 1105.233027387
Perimeter: p = 246.8411009129
Semiperimeter: s = 123.4210504565

Angle ∠ A = α = 138.1989685104° = 138°11'23″ = 2.41218649974 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 11.81103148958° = 11°48'37″ = 0.20661288806 rad

Height: ha = 18.42105045646
Height: hb = 24.56106727528
Height: hc = 60

Median: ma = 33.59550885819
Median: mb = 76.50990189247
Median: mc = 104.4544224479

Inradius: r = 8.95549972087
Circumradius: R = 90

Vertex coordinates: A[36.84110091291; 0] B[0; 0] C[103.9233048454; 60]
Centroid: CG[46.92113525278; 20]
Coordinates of the circumscribed circle: U[18.42105045646; 88.09547501931]
Coordinates of the inscribed circle: I[33.42105045646; 8.95549972087]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 41.81103148958° = 41°48'37″ = 2.41218649974 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 168.1989685104° = 168°11'23″ = 0.20661288806 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 ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians #### Look also our friend's collection of math examples and problems:

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