Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 4.24326406871   b = 5.09990195136   c = 2.82884271247

Area: T = 6
Perimeter: p = 12.17700873255
Semiperimeter: s = 6.08550436627

Angle ∠ A = α = 56.3109932474° = 56°18'36″ = 0.98327937232 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 33.6990067526° = 33°41'24″ = 0.58880026035 rad

Height: ha = 2.82884271247
Height: hb = 2.35333936217
Height: hc = 4.24326406871

Median: ma = 3.53655339059
Median: mb = 2.55495097568
Median: mc = 4.4722135955

Inradius: r = 0.98660241491
Circumradius: R = 2.55495097568

Vertex coordinates: A[-3; 5] B[-1; 3] C[-4; 0]
Centroid: CG[-2.66766666667; 2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 0.98660241491]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.6990067526° = 123°41'24″ = 0.98327937232 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 146.3109932474° = 146°18'36″ = 0.58880026035 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     