# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 12.80662484749   b = 14.14221356237   c = 7.21111025509

Area: T = 46
Perimeter: p = 34.15994866495
Semiperimeter: s = 17.08797433248

Angle ∠ A = α = 64.44400348282° = 64°26'24″ = 1.12546907779 rad
Angle ∠ B = β = 85.03302592719° = 85°1'49″ = 1.48440579881 rad
Angle ∠ C = γ = 30.53297058999° = 30°31'47″ = 0.53328438876 rad

Height: ha = 7.18439930469
Height: hb = 6.50553823869
Height: hc = 12.75881045132

Median: ma = 9.22195444573
Median: mb = 7.61657731059
Median: mc = 13

Inradius: r = 2.69332489046
Circumradius: R = 7.09877511814

Vertex coordinates: A[-4; 4] B[-10; 0] C[-2; -10]
Centroid: CG[-5.33333333333; -2]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.23441955569; 2.69332489046]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.5659965172° = 115°33'36″ = 1.12546907779 rad
∠ B' = β' = 94.97697407281° = 94°58'11″ = 1.48440579881 rad
∠ C' = γ' = 149.47702941° = 149°28'13″ = 0.53328438876 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.