# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 9.48768329805   b = 5.09990195136   c = 10.19880390272

Area: T = 24
Perimeter: p = 24.78438915213
Semiperimeter: s = 12.39219457606

Angle ∠ A = α = 67.3880135052° = 67°22'49″ = 1.17660052071 rad
Angle ∠ B = β = 29.74548812969° = 29°44'42″ = 0.51991461142 rad
Angle ∠ C = γ = 82.87549836511° = 82°52'30″ = 1.44664413322 rad

Height: ha = 5.06596442563
Height: hb = 9.41435744866
Height: hc = 4.70767872433

Median: ma = 6.51992024052
Median: mb = 9.51331487952
Median: mc = 5.65768542495

Inradius: r = 1.93767418534
Circumradius: R = 5.13987011978

Vertex coordinates: A[-9; -5] B[-7; 5] C[-4; -4]
Centroid: CG[-6.66766666667; -1.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[3.38992982435; 1.93767418534]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.6219864948° = 112°37'11″ = 1.17660052071 rad
∠ B' = β' = 150.2555118703° = 150°15'18″ = 0.51991461142 rad
∠ C' = γ' = 97.12550163489° = 97°7'30″ = 1.44664413322 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    