# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 5.65768542495   b = 5.38551648071   c = 6.08327625303

Area: T = 14
Perimeter: p = 17.12547815869
Semiperimeter: s = 8.56223907935

Angle ∠ A = α = 58.73662683056° = 58°44'11″ = 1.02551412723 rad
Angle ∠ B = β = 54.4622322208° = 54°27'44″ = 0.95105468408 rad
Angle ∠ C = γ = 66.80114094864° = 66°48'5″ = 1.16659045405 rad

Height: ha = 4.95497474683
Height: hb = 5.1999469469
Height: hc = 4.60331716446

Median: ma = 5
Median: mb = 5.22201532545
Median: mc = 4.61097722286

Inradius: r = 1.635505735
Circumradius: R = 3.30989242348

Vertex coordinates: A[2; 3] B[1; -3] C[-3; 1]
Centroid: CG[0; 0.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.16878981071; 1.635505735]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.2643731694° = 121°15'49″ = 1.02551412723 rad
∠ B' = β' = 125.5387677792° = 125°32'16″ = 0.95105468408 rad
∠ C' = γ' = 113.1998590514° = 113°11'55″ = 1.16659045405 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    