# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene triangle.

Sides: a = 16.12545154966   b = 18.02877563773   c = 8.06222577483

Area: T = 65
Perimeter: p = 42.21545296222
Semiperimeter: s = 21.10772648111

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

Height: ha = 8.06222577483
Height: hb = 7.21111025509
Height: hc = 16.12545154966

Median: ma = 11.4021754251
Median: mb = 9.01438781887
Median: mc = 16.62107701386

Inradius: r = 3.08795084338
Circumradius: R = 9.01438781887

Vertex coordinates: A[2; 6] B[-6; 7] C[-8; -9]
Centroid: CG[-4; 1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 3.08795084338]

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