# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=75.14661571851 and with side c=9.42216394626

### #1 Acute scalene triangle.

Sides: a = 62   b = 56   c = 75.14661571851

Area: T = 1703.711102681
Perimeter: p = 193.1466157185
Semiperimeter: s = 96.57330785926

Angle ∠ A = α = 54.06879028291° = 54°4'4″ = 0.9443662924 rad
Angle ∠ B = β = 47° = 0.82203047484 rad
Angle ∠ C = γ = 78.93220971709° = 78°55'56″ = 1.37876249811 rad

Height: ha = 54.95884202198
Height: hb = 60.84768223862
Height: hc = 45.34439295004

Median: ma = 58.57702353576
Median: mb = 62.94402293438
Median: mc = 45.58879782956

Inradius: r = 17.64216766623
Circumradius: R = 38.28551689108

Vertex coordinates: A[75.14661571851; 0] B[0; 0] C[42.28438983239; 45.34439295004]
Centroid: CG[39.14333518363; 15.11546431668]
Coordinates of the circumscribed circle: U[37.57330785926; 7.35496886739]
Coordinates of the inscribed circle: I[40.57330785926; 17.64216766623]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.9322097171° = 125°55'56″ = 0.9443662924 rad
∠ B' = β' = 133° = 0.82203047484 rad
∠ C' = γ' = 101.0687902829° = 101°4'4″ = 1.37876249811 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 = 62   b = 56   c = 9.42216394626

Area: T = 213.6077077786
Perimeter: p = 127.4221639463
Semiperimeter: s = 63.71108197313

Angle ∠ A = α = 125.9322097171° = 125°55'56″ = 2.19879297296 rad
Angle ∠ B = β = 47° = 0.82203047484 rad
Angle ∠ C = γ = 7.06879028291° = 7°4'4″ = 0.12333581756 rad

Height: ha = 6.89105508963
Height: hb = 7.62988242066
Height: hc = 45.34439295004

Median: ma = 25.52222186552
Median: mb = 34.38658058664
Median: mc = 58.88880987761

Inradius: r = 3.35327598403
Circumradius: R = 38.28551689108

Vertex coordinates: A[9.42216394626; 0] B[0; 0] C[42.28438983239; 45.34439295004]
Centroid: CG[17.23551792622; 15.11546431668]
Coordinates of the circumscribed circle: U[4.71108197313; 37.99442408265]
Coordinates of the inscribed circle: I[7.71108197313; 3.35327598403]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 54.06879028291° = 54°4'4″ = 2.19879297296 rad
∠ B' = β' = 133° = 0.82203047484 rad
∠ C' = γ' = 172.9322097171° = 172°55'56″ = 0.12333581756 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    