# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene triangle.

Sides: a = 0.34114   b = 0.36766464919   c = 0.13437

Area: T = 0.023282259
Perimeter: p = 0.84217464919
Semiperimeter: s = 0.42108732459

Angle ∠ A = α = 68.61435597808° = 68°36'49″ = 1.19875325297 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 21.38664402192° = 21°23'11″ = 0.37332637971 rad

Height: ha = 0.13437
Height: hb = 0.12444937045
Height: hc = 0.34114

Median: ma = 0.21768275352
Median: mb = 0.18333232459
Median: mc = 0.34878834323

Vertex coordinates: A[0.3506; -0.34; 0.495] B[0.3506; -0.4737; 0.495] C[0.3506; -0.4737; 0.83664]
Centroid: CG[0.35106; -0.42991333333; 0.60988]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 111.3866440219° = 111°23'11″ = 1.19875325297 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 158.6143559781° = 158°36'49″ = 0.37332637971 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    