# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=45.23333411107 and with side c=11.40875146193

### #1 Acute scalene triangle.

Sides: a = 46   b = 40   c = 45.23333411107

Area: T = 819.8220261985
Perimeter: p = 131.2333341111
Semiperimeter: s = 65.61766705553

Angle ∠ A = α = 64.98770666671° = 64°59'13″ = 1.13442382846 rad
Angle ∠ B = β = 52° = 0.9087571211 rad
Angle ∠ C = γ = 63.01329333329° = 63°47″ = 1.1099783158 rad

Height: ha = 35.64443592168
Height: hb = 40.99110130993
Height: hc = 36.24884946659

Median: ma = 35.97325947635
Median: mb = 411.0003362671
Median: mc = 36.69444984022

Inradius: r = 12.49440850404
Circumradius: R = 25.38803643015

Vertex coordinates: A[45.23333411107; 0] B[0; 0] C[28.3220427865; 36.24884946659]
Centroid: CG[24.51879229919; 12.08328315553]
Coordinates of the circumscribed circle: U[22.61766705553; 11.51773393224]
Coordinates of the inscribed circle: I[25.61766705553; 12.49440850404]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.0132933333° = 115°47″ = 1.13442382846 rad
∠ B' = β' = 128° = 0.9087571211 rad
∠ C' = γ' = 116.9877066667° = 116°59'13″ = 1.1099783158 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 = 46   b = 40   c = 11.40875146193

Area: T = 206.7532616415
Perimeter: p = 97.40875146193
Semiperimeter: s = 48.70437573097

Angle ∠ A = α = 115.0132933333° = 115°47″ = 2.0077354369 rad
Angle ∠ B = β = 52° = 0.9087571211 rad
Angle ∠ C = γ = 12.98770666671° = 12°59'13″ = 0.22766670735 rad

Height: ha = 8.98992441919
Height: hb = 10.33876308207
Height: hc = 36.24884946659

Median: ma = 18.33220946674
Median: mb = 26.89898809015
Median: mc = 42.72554859838

Inradius: r = 4.24551060829
Circumradius: R = 25.38803643015

Vertex coordinates: A[11.40875146193; 0] B[0; 0] C[28.3220427865; 36.24884946659]
Centroid: CG[13.24326474948; 12.08328315553]
Coordinates of the circumscribed circle: U[5.70437573097; 24.73111553436]
Coordinates of the inscribed circle: I[8.70437573097; 4.24551060829]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 64.98770666671° = 64°59'13″ = 2.0077354369 rad
∠ B' = β' = 128° = 0.9087571211 rad
∠ C' = γ' = 167.0132933333° = 167°47″ = 0.22766670735 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    