# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=69.75988335708 and with side c=21.20216159717

### #1 Obtuse scalene triangle.

Sides: a = 52   b = 35   c = 69.75988335708

Area: T = 879.314359392
Perimeter: p = 156.7598833571
Semiperimeter: s = 78.37994167854

Angle ∠ A = α = 46.07883111663° = 46°4'42″ = 0.80442182436 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 104.9221688834° = 104°55'18″ = 1.83112289269 rad

Height: ha = 33.82197536123
Height: hb = 50.24664910811
Height: hc = 25.21101002528

Median: ma = 48.67990245443
Median: mb = 58.98221789237
Median: mc = 27.34882409802

Inradius: r = 11.21986799798
Circumradius: R = 36.09766434435

Vertex coordinates: A[69.75988335708; 0] B[0; 0] C[45.48802247712; 25.21101002528]
Centroid: CG[38.41330194474; 8.40333667509]
Coordinates of the circumscribed circle: U[34.87994167854; -9.29548347266]
Coordinates of the inscribed circle: I[43.37994167854; 11.21986799798]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.9221688834° = 133°55'18″ = 0.80442182436 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 75.07883111663° = 75°4'42″ = 1.83112289269 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 = 52   b = 35   c = 21.20216159717

Area: T = 267.2477432084
Perimeter: p = 108.2021615972
Semiperimeter: s = 54.10108079858

Angle ∠ A = α = 133.9221688834° = 133°55'18″ = 2.337737441 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 17.07883111663° = 17°4'42″ = 0.29880727605 rad

Height: ha = 10.27987473878
Height: hb = 15.27112818333
Height: hc = 25.21101002528

Median: ma = 12.69985928317
Median: mb = 35.64441335973
Median: mc = 43.03662971229

Inradius: r = 4.94398048205
Circumradius: R = 36.09766434435

Vertex coordinates: A[21.20216159717; 0] B[0; 0] C[45.48802247712; 25.21101002528]
Centroid: CG[22.22772802476; 8.40333667509]
Coordinates of the circumscribed circle: U[10.60108079858; 34.50549349794]
Coordinates of the inscribed circle: I[19.10108079858; 4.94398048205]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 46.07883111663° = 46°4'42″ = 2.337737441 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 162.9221688834° = 162°55'18″ = 0.29880727605 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    