# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 7.61657731059   b = 3.60655512755   c = 6.40331242374

Area: T = 11.5
Perimeter: p = 17.62444486188
Semiperimeter: s = 8.81222243094

Angle ∠ A = α = 94.97697407281° = 94°58'11″ = 1.65875346655 rad
Angle ∠ B = β = 28.14216012323° = 28°8'30″ = 0.49111635983 rad
Angle ∠ C = γ = 56.88986580396° = 56°53'19″ = 0.99328943898 rad

Height: ha = 3.02200479558
Height: hb = 6.37990522566
Height: hc = 3.59219965234

Median: ma = 3.53655339059
Median: mb = 6.80107352544
Median: mc = 5.02549378106

Vertex coordinates: A[1; 3] B[-4; -1] C[-1; 6]
Centroid: CG[-1.33333333333; 2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.44397926386; 1.30550053648]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 85.03302592719° = 85°1'49″ = 1.65875346655 rad
∠ B' = β' = 151.8588398768° = 151°51'30″ = 0.49111635983 rad
∠ C' = γ' = 123.111134196° = 123°6'41″ = 0.99328943898 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    