# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 5.09990195136   b = 5.83109518948   c = 10.77703296143

Area: T = 5
Perimeter: p = 21.77003010227
Semiperimeter: s = 10.85501505114

Angle ∠ A = α = 9.16223470457° = 9°9'44″ = 0.16599131232 rad
Angle ∠ B = β = 10.49114770123° = 10°29'29″ = 0.18331108173 rad
Angle ∠ C = γ = 160.3466175942° = 160°20'46″ = 2.79985687132 rad

Height: ha = 1.96111613514
Height: hb = 1.71549858514
Height: hc = 0.92884766909

Median: ma = 8.27664726786
Median: mb = 7.90656941504
Median: mc = 1

Inradius: r = 0.46108231005
Circumradius: R = 16.01112460477

Vertex coordinates: A[0; -2] B[-4; 8] C[-3; 3]
Centroid: CG[-2.33333333333; 3]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.48884447429; 0.46108231005]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.8387652954° = 170°50'16″ = 0.16599131232 rad
∠ B' = β' = 169.5098522988° = 169°30'31″ = 0.18331108173 rad
∠ C' = γ' = 19.65438240581° = 19°39'14″ = 2.79985687132 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    