Triangle calculator VC

Please enter the coordinates of the three vertices

Obtuse scalene triangle.

Sides: a = 9.22195444573   b = 11.4021754251   c = 6.40331242374

Area: T = 29.5
Perimeter: p = 27.02444229457
Semiperimeter: s = 13.51222114729

Angle ∠ A = α = 53.91549269571° = 53°54'54″ = 0.94109929914 rad
Angle ∠ B = β = 91.94114863909° = 91°56'29″ = 1.60546816567 rad
Angle ∠ C = γ = 34.14435866519° = 34°8'37″ = 0.59659180055 rad

Height: ha = 6.39994485057
Height: hb = 5.17546423139
Height: hc = 9.21442519514

Median: ma = 8.01656097709
Median: mb = 5.52326805086
Median: mc = 9.86215414617

Inradius: r = 2.18332103545
Circumradius: R = 5.704415161

Vertex coordinates: A[-3; 2] B[2; 6] C[8; -1]
Centroid: CG[2.33333333333; 2.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.07440071307; 2.18332103545]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.0855073043° = 126°5'6″ = 0.94109929914 rad
∠ B' = β' = 88.05985136091° = 88°3'31″ = 1.60546816567 rad
∠ C' = γ' = 145.8566413348° = 145°51'23″ = 0.59659180055 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     