# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute isosceles triangle.

Sides: a = 4.24326406871   b = 3.74216573868   c = 3.74216573868

Area: T = 6.53883484153
Perimeter: p = 11.72659554607
Semiperimeter: s = 5.86329777303

Angle ∠ A = α = 69.07551675724° = 69°4'31″ = 1.20655891055 rad
Angle ∠ B = β = 55.46224162138° = 55°27'45″ = 0.9688001774 rad
Angle ∠ C = γ = 55.46224162138° = 55°27'45″ = 0.9688001774 rad

Height: ha = 3.08222070015
Height: hb = 3.49548942351
Height: hc = 3.49548942351

Median: ma = 3.08222070015
Median: mb = 3.53655339059
Median: mc = 3.53655339059

Inradius: r = 1.11551924357
Circumradius: R = 2.27110998958

Vertex coordinates: A[-2; 2; -1] B[-1; 0; 2] C[0; -1; -2]
Centroid: CG[-1; 0.33333333333; -0.33333333333]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110.9254832428° = 110°55'29″ = 1.20655891055 rad
∠ B' = β' = 124.5387583786° = 124°32'15″ = 0.9688001774 rad
∠ C' = γ' = 124.5387583786° = 124°32'15″ = 0.9688001774 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.