# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 8.944427191   b = 11.04553610172   c = 4.24326406871

Area: T = 18
Perimeter: p = 24.23222736143
Semiperimeter: s = 12.11661368072

Angle ∠ A = α = 50.19444289077° = 50°11'40″ = 0.87660580506 rad
Angle ∠ B = β = 108.4354948823° = 108°26'6″ = 1.89325468812 rad
Angle ∠ C = γ = 21.37106222693° = 21°22'14″ = 0.37329877218 rad

Height: ha = 4.02549223595
Height: hb = 3.25992868575
Height: hc = 8.48552813742

Median: ma = 7.07110678119
Median: mb = 4.30111626335
Median: mc = 9.82334413522

Vertex coordinates: A[1; 6] B[4; 3] C[0; -5]
Centroid: CG[1.66766666667; 1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.495520735; 1.48656220499]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.8065571092° = 129°48'20″ = 0.87660580506 rad
∠ B' = β' = 71.56550511771° = 71°33'54″ = 1.89325468812 rad
∠ C' = γ' = 158.6299377731° = 158°37'46″ = 0.37329877218 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    