# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=69.82553913618 and with side c=30.63435554772

### #1 Obtuse scalene triangle.

Sides: a = 58   b = 35   c = 69.82553913618

Area: T = 1012.468817475
Perimeter: p = 162.8255391362
Semiperimeter: s = 81.41326956809

Angle ∠ A = α = 55.952226763° = 55°57'8″ = 0.97765512941 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 94.048773237° = 94°2'52″ = 1.64114425839 rad

Height: ha = 34.91326956809
Height: hb = 57.85553242712
Height: hc = 29

Median: ma = 47.00331130821
Median: mb = 61.75438876461
Median: mc = 32.79663973676

Inradius: r = 12.43662443262
Circumradius: R = 35

Vertex coordinates: A[69.82553913618; 0] B[0; 0] C[50.22994734195; 29]
Centroid: CG[40.01882882604; 9.66766666667]
Coordinates of the circumscribed circle: U[34.91326956809; -2.47105627485]
Coordinates of the inscribed circle: I[46.41326956809; 12.43662443262]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.048773237° = 124°2'52″ = 0.97765512941 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 85.952226763° = 85°57'8″ = 1.64114425839 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 = 58   b = 35   c = 30.63435554772

Area: T = 444.187655442
Perimeter: p = 123.6343555477
Semiperimeter: s = 61.81767777386

Angle ∠ A = α = 124.048773237° = 124°2'52″ = 2.16550413595 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 25.952226763° = 25°57'8″ = 0.45329525185 rad

Height: ha = 15.31767777386
Height: hb = 25.3822088824
Height: hc = 29

Median: ma = 15.51547465525
Median: mb = 42.95329668427
Median: mc = 45.38660806824

Inradius: r = 7.18655339387
Circumradius: R = 35

Vertex coordinates: A[30.63435554772; 0] B[0; 0] C[50.22994734195; 29]
Centroid: CG[26.95443429656; 9.66766666667]
Coordinates of the circumscribed circle: U[15.31767777386; 31.47105627485]
Coordinates of the inscribed circle: I[26.81767777386; 7.18655339387]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 55.952226763° = 55°57'8″ = 2.16550413595 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 154.048773237° = 154°2'52″ = 0.45329525185 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    