# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=4.38109934777 and with side c=0.74986886289

### #1 Acute scalene triangle.

Sides: a = 8.3   b = 8.1   c = 4.38109934777

Area: T = 17.29112754386
Perimeter: p = 20.78109934777
Semiperimeter: s = 10.39904967389

Angle ∠ A = α = 77.04331990626° = 77°2'36″ = 1.34546574899 rad
Angle ∠ B = β = 72° = 1.25766370614 rad
Angle ∠ C = γ = 30.95768009374° = 30°57'24″ = 0.54402981022 rad

Height: ha = 4.16765723949
Height: hb = 4.26994507256
Height: hc = 7.89437690852

Median: ma = 5.01878732473
Median: mb = 5.25772856044
Median: mc = 7.90326403206

Inradius: r = 1.6644143291
Circumradius: R = 4.25884220082

Vertex coordinates: A[4.38109934777; 0] B[0; 0] C[2.56548410533; 7.89437690852]
Centroid: CG[2.3155278177; 2.63112563617]
Coordinates of the circumscribed circle: U[2.19904967389; 3.65218326956]
Coordinates of the inscribed circle: I[2.29904967389; 1.6644143291]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 102.9576800937° = 102°57'24″ = 1.34546574899 rad
∠ B' = β' = 108° = 1.25766370614 rad
∠ C' = γ' = 149.0433199063° = 149°2'36″ = 0.54402981022 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 = 8.3   b = 8.1   c = 0.74986886289

Area: T = 2.95549875766
Perimeter: p = 17.14986886289
Semiperimeter: s = 8.57443443144

Angle ∠ A = α = 102.9576800937° = 102°57'24″ = 1.79769351637 rad
Angle ∠ B = β = 72° = 1.25766370614 rad
Angle ∠ C = γ = 5.04331990626° = 5°2'36″ = 0.08880204285 rad

Height: ha = 0.71220451992
Height: hb = 0.73296265621
Height: hc = 7.89437690852

Median: ma = 3.9832808975
Median: mb = 4.28105101719
Median: mc = 8.19220611774

Inradius: r = 0.34546313174
Circumradius: R = 4.25884220082

Vertex coordinates: A[0.74986886289; 0] B[0; 0] C[2.56548410533; 7.89437690852]
Centroid: CG[1.10545098941; 2.63112563617]
Coordinates of the circumscribed circle: U[0.37443443144; 4.24219363897]
Coordinates of the inscribed circle: I[0.47443443144; 0.34546313174]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 77.04331990626° = 77°2'36″ = 1.79769351637 rad
∠ B' = β' = 108° = 1.25766370614 rad
∠ C' = γ' = 174.9576800937° = 174°57'24″ = 0.08880204285 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    