# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 3.16222776602   b = 11.18803398875   c = 8.06222577483

Area: T = 2.5
Perimeter: p = 22.4054875296
Semiperimeter: s = 11.2022437648

Angle ∠ A = α = 3.18798301199° = 3°10'47″ = 0.05554985052 rad
Angle ∠ B = β = 168.6990067526° = 168°41'24″ = 2.94441970937 rad
Angle ∠ C = γ = 8.13301023542° = 8°7'48″ = 0.14218970546 rad

Height: ha = 1.58111388301
Height: hb = 0.44772135955
Height: hc = 0.62201736729

Median: ma = 9.61876920308
Median: mb = 2.5
Median: mc = 7.15989105316

Inradius: r = 0.22331657143
Circumradius: R = 28.50443856275

Vertex coordinates: A[8; 2] B[4; -5] C[3; -8]
Centroid: CG[5; -3.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-1.11658285717; 0.22331657143]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 176.822016988° = 176°49'13″ = 0.05554985052 rad
∠ B' = β' = 11.3109932474° = 11°18'36″ = 2.94441970937 rad
∠ C' = γ' = 171.8769897646° = 171°52'12″ = 0.14218970546 rad

# How did we calculate this triangle?

### 1. We compute side a from coordinates using the Pythagorean theorem ### 2. We compute side b from coordinates using the Pythagorean theorem ### 3. We compute side c from coordinates using the Pythagorean theorem 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines    