# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 14.21326704036   b = 6.40331242374   c = 16.76330546142

Area: T = 44.5
Perimeter: p = 37.37988492552
Semiperimeter: s = 18.68994246276

Angle ∠ A = α = 56.01438328904° = 56°50″ = 0.97876258106 rad
Angle ∠ B = β = 21.93553822262° = 21°56'7″ = 0.38328446425 rad
Angle ∠ C = γ = 102.0510784883° = 102°3'3″ = 1.78111222005 rad

Height: ha = 6.26220181481
Height: hb = 13.89994648081
Height: hc = 5.30992948778

Median: ma = 10.51218980208
Median: mb = 15.20769063257
Median: mc = 7.15989105316

Inradius: r = 2.38110256809
Circumradius: R = 8.57703936619

Vertex coordinates: A[-6; 0] B[10; -5] C[-1; 4]
Centroid: CG[1; -0.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[5.9122434556; 2.38110256809]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.986616711° = 123°59'10″ = 0.97876258106 rad
∠ B' = β' = 158.0654617774° = 158°3'53″ = 0.38328446425 rad
∠ C' = γ' = 77.94992151166° = 77°56'57″ = 1.78111222005 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    