# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene triangle.

Sides: a = 12.04215945788   b = 5.38551648071   c = 10.77703296143

Area: T = 29
Perimeter: p = 28.19770890002
Semiperimeter: s = 14.09985445001

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 26.56550511771° = 26°33'54″ = 0.4643647609 rad
Angle ∠ C = γ = 63.43549488229° = 63°26'6″ = 1.10771487178 rad

Height: ha = 4.81766378315
Height: hb = 10.77703296143
Height: hc = 5.38551648071

Median: ma = 6.02107972894
Median: mb = 11.10218016556
Median: mc = 7.61657731059

Vertex coordinates: A[-2; 2] B[8; -2] C[-4; -3]
Centroid: CG[0.66766666667; -1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[4.11438998426; 2.05769499213]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 153.4354948823° = 153°26'6″ = 0.4643647609 rad
∠ C' = γ' = 116.5655051177° = 116°33'54″ = 1.10771487178 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    