# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 6.32545553203   b = 6.40331242374   c = 7.28801098893

Area: T = 19
Perimeter: p = 20.00877894471
Semiperimeter: s = 10.00438947235

Angle ∠ A = α = 54.6055204155° = 54°36'19″ = 0.95330406012 rad
Angle ∠ B = β = 55.62196552762° = 55°37'11″ = 0.97107461134 rad
Angle ∠ C = γ = 69.77551405688° = 69°46'31″ = 1.2187805939 rad

Height: ha = 6.00883275543
Height: hb = 5.93546029518
Height: hc = 5.22197014301

Median: ma = 6.08327625303
Median: mb = 6.02107972894
Median: mc = 5.22201532545

Inradius: r = 1.89992602906
Circumradius: R = 3.87992365814

Vertex coordinates: A[1; 5] B[3; -2] C[-3; 0]
Centroid: CG[0.33333333333; 1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.29994938831; 1.89992602906]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.3954795845° = 125°23'41″ = 0.95330406012 rad
∠ B' = β' = 124.3880344724° = 124°22'49″ = 0.97107461134 rad
∠ C' = γ' = 110.2254859431° = 110°13'29″ = 1.2187805939 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    