Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 6.70882039325   b = 7.07110678119   c = 2.23660679775

Area: T = 7.5
Perimeter: p = 16.01553397219
Semiperimeter: s = 8.00876698609

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

Height: ha = 2.23660679775
Height: hb = 2.12113203436
Height: hc = 6.70882039325

Median: ma = 4.03111288741
Median: mb = 3.53655339059
Median: mc = 6.80107352544

Inradius: r = 0.93766020491
Circumradius: R = 3.53655339059

Vertex coordinates: A[4; 0] B[2; 1] C[-1; -5]
Centroid: CG[1.66766666667; -1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 0.93766020491]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.4354948823° = 108°26'6″ = 1.24990457724 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 161.5655051177° = 161°33'54″ = 0.32217505544 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     