Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 13.4166407865   b = 28.01878514522   c = 24.59767477525

Area: T = 165
Perimeter: p = 66.03110070697
Semiperimeter: s = 33.01655035349

Angle ∠ A = α = 28.6110459666° = 28°36'38″ = 0.49993467217 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 61.3989540334° = 61°23'22″ = 1.07114496051 rad

Height: ha = 24.59767477525
Height: hb = 11.77882050691
Height: hc = 13.4166407865

Median: ma = 25.4955097568
Median: mb = 14.00989257261
Median: mc = 18.22002747232

Inradius: r = 4.99876520826
Circumradius: R = 14.00989257261

Vertex coordinates: A[-10; 5] B[12; 16] C[18; 4]
Centroid: CG[6.66766666667; 8.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0; 4.99876520826]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.3989540334° = 151°23'22″ = 0.49993467217 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 118.6110459666° = 118°36'38″ = 1.07114496051 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     