Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 14.03656688476   b = 11.18803398875   c = 3.16222776602

Area: T = 8.5
Perimeter: p = 28.37882863953
Semiperimeter: s = 14.18991431976

Angle ∠ A = α = 151.2660204708° = 151°15'37″ = 2.64399885994 rad
Angle ∠ B = β = 22.52105656029° = 22°31'14″ = 0.39330580192 rad
Angle ∠ C = γ = 6.21992296888° = 6°13'9″ = 0.1098546035 rad

Height: ha = 1.21111998498
Height: hb = 1.52105262247
Height: hc = 5.37658720223

Median: ma = 4.27220018727
Median: mb = 8.5
Median: mc = 12.5989678312

Inradius: r = 0.59990495608
Circumradius: R = 14.59551715009

Vertex coordinates: A[-10; -4] B[-9; -7] C[-8; 7]
Centroid: CG[-9; -1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.44547665877; 0.59990495608]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 28.74397952917° = 28°44'23″ = 2.64399885994 rad
∠ B' = β' = 157.4799434397° = 157°28'46″ = 0.39330580192 rad
∠ C' = γ' = 173.7810770311° = 173°46'51″ = 0.1098546035 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     