Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 9.05553851381   b = 7.07110678119   c = 5.65768542495

Area: T = 20
Perimeter: p = 21.78333071995
Semiperimeter: s = 10.89216535997

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

Height: ha = 4.4177261043
Height: hb = 5.65768542495
Height: hc = 7.07110678119

Median: ma = 4.52876925691
Median: mb = 6.67108320321
Median: mc = 7.61657731059

Inradius: r = 1.83662684616
Circumradius: R = 4.52876925691

Vertex coordinates: A[-1; 1] B[3; 5] C[4; -4]
Centroid: CG[2; 0.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.46990147693; 1.83662684616]

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