# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 10.05498756211   b = 7.21111025509   c = 14.86660687473

Area: T = 32
Perimeter: p = 32.12770469194
Semiperimeter: s = 16.06435234597

Angle ∠ A = α = 36.6566108416° = 36°39'22″ = 0.64397697828 rad
Angle ∠ B = β = 25.36444171956° = 25°21'52″ = 0.44326925929 rad
Angle ∠ C = γ = 117.9799474388° = 117°58'46″ = 2.05991302779 rad

Height: ha = 6.36882380173
Height: hb = 8.87552031396
Height: hc = 4.30551058816

Median: ma = 10.54875115549
Median: mb = 12.16655250606
Median: mc = 4.61097722286

Vertex coordinates: A[-3; 6] B[2; -8] C[3; 2]
Centroid: CG[0.66766666667; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[4.20220668858; 1.99220909681]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.3443891584° = 143°20'38″ = 0.64397697828 rad
∠ B' = β' = 154.6365582804° = 154°38'8″ = 0.44326925929 rad
∠ C' = γ' = 62.02105256115° = 62°1'14″ = 2.05991302779 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    