# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 3.60655512755   b = 4.4722135955   c = 6.08327625303

Area: T = 8
Perimeter: p = 14.16604497608
Semiperimeter: s = 7.08802248804

Angle ∠ A = α = 36.02773733851° = 36°1'39″ = 0.62987962864 rad
Angle ∠ B = β = 46.8487610266° = 46°50'51″ = 0.81876450458 rad
Angle ∠ C = γ = 97.12550163489° = 97°7'30″ = 1.69551513213 rad

Height: ha = 4.43876015698
Height: hb = 3.5787708764
Height: hc = 2.63303837969

Median: ma = 5.02549378106
Median: mb = 4.4722135955
Median: mc = 2.69325824036

Inradius: r = 1.13299076138
Circumradius: R = 3.06550499588

Vertex coordinates: A[1; 3] B[2; -3] C[-1; -1]
Centroid: CG[0.66766666667; -0.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.0599288388; 1.13299076138]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.9732626615° = 143°58'21″ = 0.62987962864 rad
∠ B' = β' = 133.1522389734° = 133°9'9″ = 0.81876450458 rad
∠ C' = γ' = 82.87549836511° = 82°52'30″ = 1.69551513213 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    