Triangle calculator SSA
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 = 3.67767673279Area: 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
Inradius: r = 0.42548864585
Circumradius: R = 2.30333741987
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. 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

7. Inradius

8. Circumradius

#2 Obtuse scalene triangle.
Sides: a = 2.3 b = 1.8 c = 0.5587554998Area: 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
Inradius: r = 0.10875809981
Circumradius: R = 2.30333741987
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
Calculate another triangle
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

7. Inradius

8. Circumradius
