Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene Pythagorean triangle.

Sides: a = 7.07110678119   b = 5.65768542495   c = 4.24326406871

Area: T = 12
Perimeter: p = 16.97105627485
Semiperimeter: s = 8.48552813742

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 36.87698976458° = 36°52'12″ = 0.64435011088 rad

Height: ha = 3.39441125497
Height: hb = 4.24326406871
Height: hc = 5.65768542495

Median: ma = 3.53655339059
Median: mb = 5.09990195136
Median: mc = 6.04215229868

Inradius: r = 1.41442135624
Circumradius: R = 3.53655339059

Vertex coordinates: A[1; 4] B[4; 1] C[-3; 0]
Centroid: CG[0.66766666667; 1.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.06106601718; 1.41442135624]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 143.1330102354° = 143°7'48″ = 0.64435011088 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     