# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=14.37553280721 and with side c=5.43108325771

### #1 Acute scalene triangle.

Sides: a = 12.4   b = 8.7   c = 14.37553280721

Area: T = 53.63879880585
Perimeter: p = 35.47553280721
Semiperimeter: s = 17.73876640361

Angle ∠ A = α = 59.06659253438° = 59°3'57″ = 1.0310894873 rad
Angle ∠ B = β = 37° = 0.64657718232 rad
Angle ∠ C = γ = 83.93440746562° = 83°56'3″ = 1.46549259574 rad

Height: ha = 8.65112883965
Height: hb = 12.33105719675
Height: hc = 7.46325062871

Median: ma = 10.13655823015
Median: mb = 12.76997058466
Median: mc = 7.94111891871

Inradius: r = 3.02439600857
Circumradius: R = 7.22881346139

Vertex coordinates: A[14.37553280721; 0] B[0; 0] C[9.90330803246; 7.46325062871]
Centroid: CG[8.09328027989; 2.48875020957]
Coordinates of the circumscribed circle: U[7.18876640361; 0.76438165364]
Coordinates of the inscribed circle: I[9.03876640361; 3.02439600857]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120.9344074656° = 120°56'3″ = 1.0310894873 rad
∠ B' = β' = 143° = 0.64657718232 rad
∠ C' = γ' = 96.06659253438° = 96°3'57″ = 1.46549259574 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 = 12.4   b = 8.7   c = 5.43108325771

Area: T = 20.26438111252
Perimeter: p = 26.53108325771
Semiperimeter: s = 13.26554162885

Angle ∠ A = α = 120.9344074656° = 120°56'3″ = 2.11106977806 rad
Angle ∠ B = β = 37° = 0.64657718232 rad
Angle ∠ C = γ = 22.06659253438° = 22°3'57″ = 0.38551230497 rad

Height: ha = 3.26883566331
Height: hb = 4.65883473851
Height: hc = 7.46325062871

Median: ma = 3.76219105837
Median: mb = 8.52766916937
Median: mc = 10.36110575898

Inradius: r = 1.52875669217
Circumradius: R = 7.22881346139

Vertex coordinates: A[5.43108325771; 0] B[0; 0] C[9.90330803246; 7.46325062871]
Centroid: CG[5.11113043006; 2.48875020957]
Coordinates of the circumscribed circle: U[2.71554162885; 6.69986897507]
Coordinates of the inscribed circle: I[4.56554162885; 1.52875669217]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 59.06659253438° = 59°3'57″ = 2.11106977806 rad
∠ B' = β' = 143° = 0.64657718232 rad
∠ C' = γ' = 157.9344074656° = 157°56'3″ = 0.38551230497 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    