# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 3.60655512755   b = 6.40331242374   c = 6.32545553203

Area: T = 11
Perimeter: p = 16.33332308332
Semiperimeter: s = 8.16766154166

Angle ∠ A = α = 32.9055242923° = 32°54'19″ = 0.57443048302 rad
Angle ∠ B = β = 74.74548812969° = 74°44'42″ = 1.30545442776 rad
Angle ∠ C = γ = 72.35498757801° = 72°21' = 1.26327435458 rad

Height: ha = 6.10217021585
Height: hb = 3.43658227615
Height: hc = 3.47985054262

Median: ma = 6.10332778079
Median: mb = 4.03111288741
Median: mc = 4.12331056256

Inradius: r = 1.34769472283
Circumradius: R = 3.31884931361

Vertex coordinates: A[0; 1] B[2; 7] C[5; 5]
Centroid: CG[2.33333333333; 4.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.36773492441; 1.34769472283]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.0954757077° = 147°5'41″ = 0.57443048302 rad
∠ B' = β' = 105.2555118703° = 105°15'18″ = 1.30545442776 rad
∠ C' = γ' = 107.655012422° = 107°39' = 1.26327435458 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 ### 9. Inradius ### 10. Circumradius ### 11. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.