# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 6.32545553203   b = 7.21111025509   c = 4.4722135955

Area: T = 14
Perimeter: p = 18.00877938263
Semiperimeter: s = 9.00438969131

Angle ∠ A = α = 60.25551187031° = 60°15'18″ = 1.05216502125 rad
Angle ∠ B = β = 81.87698976458° = 81°52'12″ = 1.42988992722 rad
Angle ∠ C = γ = 37.87549836511° = 37°52'30″ = 0.66110431689 rad

Height: ha = 4.42771887242
Height: hb = 3.88329013736
Height: hc = 6.2610990337

Median: ma = 5.09990195136
Median: mb = 4.12331056256
Median: mc = 6.40331242374

Vertex coordinates: A[-2; 1] B[2; 3] C[4; -3]
Centroid: CG[1.33333333333; 0.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.22221260438; 1.55548823065]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 119.7454881297° = 119°44'42″ = 1.05216502125 rad
∠ B' = β' = 98.13301023542° = 98°7'48″ = 1.42988992722 rad
∠ C' = γ' = 142.1255016349° = 142°7'30″ = 0.66110431689 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    