# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 38.05325951809   b = 5.65768542495   c = 42.04875920833

Area: T = 80
Perimeter: p = 85.75770415136
Semiperimeter: s = 42.87985207568

Angle ∠ A = α = 42.27436890061° = 42°16'25″ = 0.73878150601 rad
Angle ∠ B = β = 5.73990984981° = 5°44'21″ = 0.11001661649 rad
Angle ∠ C = γ = 131.9877212496° = 131°59'14″ = 2.30436114286 rad

Height: ha = 4.20547066498
Height: hb = 28.28442712475
Height: hc = 3.80552119532

Median: ma = 23.19548270095
Median: mb = 40
Median: mc = 17.26326765016

Vertex coordinates: A[1; 2] B[3; 44] C[5; 6]
Centroid: CG[3; 17.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[18.56440732458; 1.86657360046]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.7266310994° = 137°43'35″ = 0.73878150601 rad
∠ B' = β' = 174.2610901502° = 174°15'39″ = 0.11001661649 rad
∠ C' = γ' = 48.01327875042° = 48°46″ = 2.30436114286 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    