# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=23.27882890848 and with side c=1.45660520267

### #1 Obtuse scalene triangle.

Sides: a = 13.88   b = 12.6   c = 23.27882890848

Area: T = 73.3432767337
Perimeter: p = 49.75882890848
Semiperimeter: s = 24.87991445424

Angle ∠ A = α = 30.00772890268° = 30°26″ = 0.52437259931 rad
Angle ∠ B = β = 27° = 0.4711238898 rad
Angle ∠ C = γ = 122.9932710973° = 122°59'34″ = 2.14766277624 rad

Height: ha = 10.56881220947
Height: hb = 11.64217091011
Height: hc = 6.30113881364

Median: ma = 17.38326284364
Median: mb = 18.09990765333
Median: mc = 6.34333046846

Vertex coordinates: A[23.27882890848; 0] B[0; 0] C[12.36771705557; 6.30113881364]
Centroid: CG[11.88218198802; 2.11004627121]
Coordinates of the circumscribed circle: U[11.63991445424; -7.55664438578]
Coordinates of the inscribed circle: I[12.27991445424; 2.94879617843]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.9932710973° = 149°59'34″ = 0.52437259931 rad
∠ B' = β' = 153° = 0.4711238898 rad
∠ C' = γ' = 57.00772890268° = 57°26″ = 2.14766277624 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 = 13.88   b = 12.6   c = 1.45660520267

Area: T = 4.58875744835
Perimeter: p = 27.93660520267
Semiperimeter: s = 13.96880260134

Angle ∠ A = α = 149.9932710973° = 149°59'34″ = 2.61878666605 rad
Angle ∠ B = β = 27° = 0.4711238898 rad
Angle ∠ C = γ = 3.00772890268° = 3°26″ = 0.05224870951 rad

Height: ha = 0.66110337872
Height: hb = 0.7288186426
Height: hc = 6.30113881364

Median: ma = 5.68112361113
Median: mb = 7.59658701774
Median: mc = 13.23554515648

Vertex coordinates: A[1.45660520267; 0] B[0; 0] C[12.36771705557; 6.30113881364]
Centroid: CG[4.60877408608; 2.11004627121]
Coordinates of the circumscribed circle: U[0.72880260134; 13.85878319941]
Coordinates of the inscribed circle: I[1.36880260134; 0.32884339877]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 30.00772890268° = 30°26″ = 2.61878666605 rad
∠ B' = β' = 153° = 0.4711238898 rad
∠ C' = γ' = 176.9932710973° = 176°59'34″ = 0.05224870951 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    