Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 11.18803398875   b = 8.944427191   c = 14.31878210633

Area: T = 50
Perimeter: p = 34.44224328608
Semiperimeter: s = 17.22112164304

Angle ∠ A = α = 51.34401917459° = 51°20'25″ = 0.89660553846 rad
Angle ∠ B = β = 38.66598082541° = 38°39'35″ = 0.67547409422 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 8.944427191
Height: hb = 11.18803398875
Height: hc = 6.98443029577

Median: ma = 10.54875115549
Median: mb = 12.04215945788
Median: mc = 7.15989105316

Inradius: r = 2.90333953671
Circumradius: R = 7.15989105316

Vertex coordinates: A[10; 2] B[-4; 5] C[6; 10]
Centroid: CG[4; 5.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[3.62992442089; 2.90333953671]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.6659808254° = 128°39'35″ = 0.89660553846 rad
∠ B' = β' = 141.3440191746° = 141°20'25″ = 0.67547409422 rad
∠ C' = γ' = 90° = 1.57107963268 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     