# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=80.71223624798 and with side c=9.78107817259

### #1 Obtuse scalene triangle.

Sides: a = 48.8   b = 39.9   c = 80.71223624798

Area: T = 737.7433348984
Perimeter: p = 169.412236248
Semiperimeter: s = 84.70661812399

Angle ∠ A = α = 27.26987910501° = 27°16'8″ = 0.47659301869 rad
Angle ∠ B = β = 22° = 0.38439724354 rad
Angle ∠ C = γ = 130.731120895° = 130°43'52″ = 2.28216900313 rad

Height: ha = 30.23553831551
Height: hb = 36.98796164904
Height: hc = 18.28108017587

Median: ma = 58.80438070922
Median: mb = 63.63992978319
Median: mc = 18.92436263896

Inradius: r = 8.70994393607
Circumradius: R = 53.2565869893

Vertex coordinates: A[80.71223624798; 0] B[0; 0] C[45.24765721029; 18.28108017587]
Centroid: CG[41.98663115275; 6.09436005862]
Coordinates of the circumscribed circle: U[40.35661812399; -34.75500548746]
Coordinates of the inscribed circle: I[44.80661812399; 8.70994393607]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.731120895° = 152°43'52″ = 0.47659301869 rad
∠ B' = β' = 158° = 0.38439724354 rad
∠ C' = γ' = 49.26987910501° = 49°16'8″ = 2.28216900313 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 = 48.8   b = 39.9   c = 9.78107817259

Area: T = 89.44002658885
Perimeter: p = 98.48107817259
Semiperimeter: s = 49.2440390863

Angle ∠ A = α = 152.731120895° = 152°43'52″ = 2.66656624667 rad
Angle ∠ B = β = 22° = 0.38439724354 rad
Angle ∠ C = γ = 5.26987910501° = 5°16'8″ = 0.09219577514 rad

Height: ha = 3.66439453233
Height: hb = 4.48112163353
Height: hc = 18.28108017587

Median: ma = 15.76331483399
Median: mb = 28.99222290551
Median: mc = 44.30436011765

Inradius: r = 1.81655880634
Circumradius: R = 53.2565869893

Vertex coordinates: A[9.78107817259; 0] B[0; 0] C[45.24765721029; 18.28108017587]
Centroid: CG[18.34224512763; 6.09436005862]
Coordinates of the circumscribed circle: U[4.8990390863; 53.03108566333]
Coordinates of the inscribed circle: I[9.3440390863; 1.81655880634]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 27.26987910501° = 27°16'8″ = 2.66656624667 rad
∠ B' = β' = 158° = 0.38439724354 rad
∠ C' = γ' = 174.731120895° = 174°43'52″ = 0.09219577514 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    