Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 336.0065952328   b = 270   c = 200

Area: T = 27000
Perimeter: p = 806.0065952328
Semiperimeter: s = 403.0032976164

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 53.4711144633° = 53°28'16″ = 0.93332475287 rad
Angle ∠ C = γ = 36.5298855367° = 36°31'44″ = 0.63875487981 rad

Height: ha = 160.7111438669
Height: hb = 200
Height: hc = 270

Median: ma = 168.0032976164
Median: mb = 241.299857024
Median: mc = 287.9243600978

Inradius: r = 66.99770238359
Circumradius: R = 168.0032976164

Vertex coordinates: A[525; 260] B[725; 260] C[525; -10]
Centroid: CG[591.6676666667; 170]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[49.62774250636; 66.99770238359]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 126.5298855367° = 126°31'44″ = 0.93332475287 rad
∠ C' = γ' = 143.4711144633° = 143°28'16″ = 0.63875487981 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     