# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 8.06222577483   b = 9.84988578018   c = 5.09990195136

Area: T = 20.5
Perimeter: p = 23.01101350637
Semiperimeter: s = 11.50550675318

Angle ∠ A = α = 54.72875785514° = 54°43'39″ = 0.95551764374 rad
Angle ∠ B = β = 94.18549161251° = 94°11'6″ = 1.64438368921 rad
Angle ∠ C = γ = 31.08875053235° = 31°5'15″ = 0.54325793241 rad

Height: ha = 5.08554241182
Height: hb = 4.1632919277
Height: hc = 8.04107615407

Median: ma = 6.72768120235
Median: mb = 4.61097722286
Median: mc = 8.63113382508

Inradius: r = 1.78218235263
Circumradius: R = 4.9387593891

Vertex coordinates: A[5; 6] B[4; 1] C[-4; 2]
Centroid: CG[1.66766666667; 3]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.13303773312; 1.78218235263]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.2722421449° = 125°16'21″ = 0.95551764374 rad
∠ B' = β' = 85.81550838749° = 85°48'54″ = 1.64438368921 rad
∠ C' = γ' = 148.9122494677° = 148°54'45″ = 0.54325793241 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    