# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 10.19880390272   b = 5.65768542495   c = 6.32545553203

Area: T = 16
Perimeter: p = 22.1799448597
Semiperimeter: s = 11.09897242985

Angle ∠ A = α = 116.5655051177° = 116°33'54″ = 2.03444439358 rad
Angle ∠ B = β = 29.74548812969° = 29°44'42″ = 0.51991461142 rad
Angle ∠ C = γ = 33.6990067526° = 33°41'24″ = 0.58880026035 rad

Height: ha = 3.13878581622
Height: hb = 5.65768542495
Height: hc = 5.06596442563

Median: ma = 3.16222776602
Median: mb = 8
Median: mc = 7.61657731059

Vertex coordinates: A[-5; 4] B[1; 2] C[-9; 0]
Centroid: CG[-4.33333333333; 2]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.52548598835; 1.44327770763]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 63.43549488229° = 63°26'6″ = 2.03444439358 rad
∠ B' = β' = 150.2555118703° = 150°15'18″ = 0.51991461142 rad
∠ C' = γ' = 146.3109932474° = 146°18'36″ = 0.58880026035 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    