Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 10.81766538264   b = 3.60655512755   c = 11.4021754251

Area: T = 19.5
Perimeter: p = 25.82439593528
Semiperimeter: s = 12.91219796764

Angle ∠ A = α = 71.56550511771° = 71°33'54″ = 1.24990457724 rad
Angle ∠ B = β = 18.43549488229° = 18°26'6″ = 0.32217505544 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 3.60655512755
Height: hb = 10.81766538264
Height: hc = 3.42105262753

Median: ma = 6.5
Median: mb = 10.96658560997
Median: mc = 5.70108771255

Inradius: r = 1.51102254254
Circumradius: R = 5.70108771255

Vertex coordinates: A[7; 1] B[0; 10] C[9; 4]
Centroid: CG[5.33333333333; 5]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[4.53106762763; 1.51102254254]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.4354948823° = 108°26'6″ = 1.24990457724 rad
∠ B' = β' = 161.5655051177° = 161°33'54″ = 0.32217505544 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     