# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=26.47875894296 and with side c=2.45549062585

### #1 Acute scalene triangle.

Sides: a = 33   b = 32   c = 26.47875894296

Area: T = 392.6655345705
Perimeter: p = 91.47875894296
Semiperimeter: s = 45.73987947148

Angle ∠ A = α = 67.95437798724° = 67°57'14″ = 1.18660171979 rad
Angle ∠ B = β = 64° = 1.11770107213 rad
Angle ∠ C = γ = 48.04662201276° = 48°2'46″ = 0.83985647344 rad

Height: ha = 23.79878997397
Height: hb = 24.54215841065
Height: hc = 29.66602035279

Median: ma = 24.2965706843
Median: mb = 25.27990698207
Median: mc = 29.68655910249

Inradius: r = 8.58549517495
Circumradius: R = 17.80216310476

Vertex coordinates: A[26.47875894296; 0] B[0; 0] C[14.4666247844; 29.66602035279]
Centroid: CG[13.64879457579; 9.88767345093]
Coordinates of the circumscribed circle: U[13.23987947148; 11.90109404021]
Coordinates of the inscribed circle: I[13.73987947148; 8.58549517495]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.0466220128° = 112°2'46″ = 1.18660171979 rad
∠ B' = β' = 116° = 1.11770107213 rad
∠ C' = γ' = 131.9543779872° = 131°57'14″ = 0.83985647344 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 = 33   b = 32   c = 2.45549062585

Area: T = 36.40765096341
Perimeter: p = 67.45549062585
Semiperimeter: s = 33.72774531292

Angle ∠ A = α = 112.0466220128° = 112°2'46″ = 1.95655754556 rad
Angle ∠ B = β = 64° = 1.11770107213 rad
Angle ∠ C = γ = 3.95437798724° = 3°57'14″ = 0.06990064767 rad

Height: ha = 2.20664551293
Height: hb = 2.27554068521
Height: hc = 29.66602035279

Median: ma = 15.58108626966
Median: mb = 17.07437600536
Median: mc = 32.48106613051

Inradius: r = 1.07994325173
Circumradius: R = 17.80216310476

Vertex coordinates: A[2.45549062585; 0] B[0; 0] C[14.4666247844; 29.66602035279]
Centroid: CG[5.64403847008; 9.88767345093]
Coordinates of the circumscribed circle: U[1.22774531292; 17.75992631258]
Coordinates of the inscribed circle: I[1.72774531292; 1.07994325173]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 67.95437798724° = 67°57'14″ = 1.95655754556 rad
∠ B' = β' = 116° = 1.11770107213 rad
∠ C' = γ' = 176.0466220128° = 176°2'46″ = 0.06990064767 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    