# Triangle calculator SSA

Please enter two sides and a non-included angle
°

Triangle has two solutions with side c=3.67767673279 and with side c=0.5587554998

### #1 Obtuse scalene triangle.

Sides: a = 2.3   b = 1.8   c = 3.67767673279

Area: T = 1.65221215643
Perimeter: p = 7.77767673279
Semiperimeter: s = 3.8888383664

Angle ∠ A = α = 29.95215535207° = 29°57'6″ = 0.5232753225 rad
Angle ∠ B = β = 23° = 0.4011425728 rad
Angle ∠ C = γ = 127.0488446479° = 127°2'54″ = 2.21774137006 rad

Height: ha = 1.43766274472
Height: hb = 1.8365690627
Height: hc = 0.89986815955

Median: ma = 2.65664655074
Median: mb = 2.93216051903
Median: mc = 0.94109280015

Vertex coordinates: A[3.67767673279; 0] B[0; 0] C[2.11771611629; 0.89986815955]
Centroid: CG[1.9311309497; 0.32995605318]
Coordinates of the circumscribed circle: U[1.8388383664; -1.3887760139]
Coordinates of the inscribed circle: I[2.0888383664; 0.42548864585]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0488446479° = 150°2'54″ = 0.5232753225 rad
∠ B' = β' = 157° = 0.4011425728 rad
∠ C' = γ' = 52.95215535207° = 52°57'6″ = 2.21774137006 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 Obtuse scalene triangle.

Sides: a = 2.3   b = 1.8   c = 0.5587554998

Area: T = 0.25105322076
Perimeter: p = 4.6587554998
Semiperimeter: s = 2.3298777499

Angle ∠ A = α = 150.0488446479° = 150°2'54″ = 2.61988394286 rad
Angle ∠ B = β = 23° = 0.4011425728 rad
Angle ∠ C = γ = 6.95215535207° = 6°57'6″ = 0.12113274971 rad

Height: ha = 0.21878540935
Height: hb = 0.27883691195
Height: hc = 0.89986815955

Median: ma = 0.67330035571
Median: mb = 1.41108273416
Median: mc = 2.04662851967

Vertex coordinates: A[0.5587554998; 0] B[0; 0] C[2.11771611629; 0.89986815955]
Centroid: CG[0.89215720536; 0.32995605318]
Coordinates of the circumscribed circle: U[0.2798777499; 2.28664417345]
Coordinates of the inscribed circle: I[0.5298777499; 0.10875809981]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 29.95215535207° = 29°57'6″ = 2.61988394286 rad
∠ B' = β' = 157° = 0.4011425728 rad
∠ C' = γ' = 173.0488446479° = 173°2'54″ = 0.12113274971 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.