Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 8.48552813742   b = 10.19880390272   c = 5.65768542495

Area: T = 24
Perimeter: p = 24.34401746509
Semiperimeter: s = 12.17700873255

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 = 5.65768542495
Height: hb = 4.70767872433
Height: hc = 8.48552813742

Median: ma = 7.07110678119
Median: mb = 5.09990195136
Median: mc = 8.944427191

Inradius: r = 1.97220482983
Circumradius: R = 5.09990195136

Vertex coordinates: A[0; 0] B[-4; -4] C[-10; 2]
Centroid: CG[-4.66766666667; -0.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 1.97220482983]

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     