Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=12.88222418628 and with side c=3.04329486123

#1 Acute scalene triangle.

Sides: a = 10.8   b = 8.8   c = 12.88222418628

Area: T = 46.9976828855
Perimeter: p = 32.48222418628
Semiperimeter: s = 16.24111209314

Angle ∠ A = α = 56.01098236305° = 56°35″ = 0.97875558358 rad
Angle ∠ B = β = 42.5° = 42°30' = 0.74217649321 rad
Angle ∠ C = γ = 81.49901763695° = 81°29'25″ = 1.42222718857 rad

Height: ha = 8.70331164546
Height: hb = 10.6811097467
Height: hc = 7.29663742422

Median: ma = 9.62195674386
Median: mb = 11.04224670117
Median: mc = 7.45333188009

Inradius: r = 2.89436936714
Circumradius: R = 6.51328238249

Vertex coordinates: A[12.88222418628; 0] B[0; 0] C[7.96325952375; 7.29663742422]
Centroid: CG[6.94882790334; 2.43221247474]
Coordinates of the circumscribed circle: U[6.44111209314; 0.96437610289]
Coordinates of the inscribed circle: I[7.44111209314; 2.89436936714]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.9990176369° = 123°59'25″ = 0.97875558358 rad
∠ B' = β' = 137.5° = 137°30' = 0.74217649321 rad
∠ C' = γ' = 98.51098236305° = 98°30'35″ = 1.42222718857 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 = 10.8   b = 8.8   c = 3.04329486123

Area: T = 11.10112459377
Perimeter: p = 22.64329486123
Semiperimeter: s = 11.32114743062

Angle ∠ A = α = 123.9990176369° = 123°59'25″ = 2.16440368178 rad
Angle ∠ B = β = 42.5° = 42°30' = 0.74217649321 rad
Angle ∠ C = γ = 13.51098236305° = 13°30'35″ = 0.23657909037 rad

Height: ha = 2.05657862848
Height: hb = 2.52330104404
Height: hc = 7.29663742422

Median: ma = 3.76769308633
Median: mb = 6.60222547761
Median: mc = 9.73326828745

Inradius: r = 0.98105477306
Circumradius: R = 6.51328238249

Vertex coordinates: A[3.04329486123; 0] B[0; 0] C[7.96325952375; 7.29663742422]
Centroid: CG[3.66985146166; 2.43221247474]
Coordinates of the circumscribed circle: U[1.52114743062; 6.33326132133]
Coordinates of the inscribed circle: I[2.52114743062; 0.98105477306]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 56.01098236305° = 56°35″ = 2.16440368178 rad
∠ B' = β' = 137.5° = 137°30' = 0.74217649321 rad
∠ C' = γ' = 166.4990176369° = 166°29'25″ = 0.23657909037 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     