Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 31.90661122671   b = 22.47222050542   c = 39.05112483795

Area: T = 358.5
Perimeter: p = 93.43295657009
Semiperimeter: s = 46.71547828504

Angle ∠ A = α = 54.7898682239° = 54°47'19″ = 0.95662428979 rad
Angle ∠ B = β = 35.13114073811° = 35°7'53″ = 0.61331587297 rad
Angle ∠ C = γ = 90.08799103799° = 90°4'48″ = 1.5722191026 rad

Height: ha = 22.47221831979
Height: hb = 31.90660812354
Height: hc = 18.36604885824

Median: ma = 27.57771644663
Median: mb = 33.8421542518
Median: mc = 19.5

Inradius: r = 7.6744230257
Circumradius: R = 19.52656431803

Vertex coordinates: A[-24; -19] B[-22; 20] C[-5; -7]
Centroid: CG[-17; -2]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[10.90766117599; 7.6744230257]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.2111317761° = 125°12'41″ = 0.95662428979 rad
∠ B' = β' = 144.8698592619° = 144°52'7″ = 0.61331587297 rad
∠ C' = γ' = 89.92200896201° = 89°55'12″ = 1.5722191026 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     