# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 9.05553851381   b = 13.45436240471   c = 10.05498756211

Area: T = 45.5
Perimeter: p = 32.55988848063
Semiperimeter: s = 16.27994424032

Angle ∠ A = α = 42.30221943667° = 42°18'8″ = 0.73883125725 rad
Angle ∠ B = β = 89.37704013916° = 89°22'13″ = 1.56598077581 rad
Angle ∠ C = γ = 48.32774042417° = 48°19'39″ = 0.8433472323 rad

Height: ha = 10.04992688728
Height: hb = 6.76439767308
Height: hc = 9.05548384309

Median: ma = 10.97772492001
Median: mb = 6.80107352544
Median: mc = 10.3087764064

Inradius: r = 2.79549360226
Circumradius: R = 6.72772181707

Vertex coordinates: A[4; 3] B[-6; 2] C[-5; -7]
Centroid: CG[-2.33333333333; -0.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.03107135827; 2.79549360226]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.6987805633° = 137°41'52″ = 0.73883125725 rad
∠ B' = β' = 90.63295986084° = 90°37'47″ = 1.56598077581 rad
∠ C' = γ' = 131.6732595758° = 131°40'21″ = 0.8433472323 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.