# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene triangle.

Sides: a = 8.944427191   b = 2.23660679775   c = 9.22195444573

Area: T = 10
Perimeter: p = 20.43998843448
Semiperimeter: s = 10.21999421724

Angle ∠ A = α = 75.96437565321° = 75°57'50″ = 1.32658176637 rad
Angle ∠ B = β = 14.03662434679° = 14°2'10″ = 0.24549786631 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 2.23660679775
Height: hb = 8.944427191
Height: hc = 2.16993045782

Median: ma = 5
Median: mb = 9.01438781887
Median: mc = 4.61097722286

Inradius: r = 0.98803977151
Circumradius: R = 4.61097722286

Vertex coordinates: A[1; 4] B[10; 6] C[2; 2]
Centroid: CG[4.33333333333; 4]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[3.92215908604; 0.98803977151]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 104.0366243468° = 104°2'10″ = 1.32658176637 rad
∠ B' = β' = 165.9643756532° = 165°57'50″ = 0.24549786631 rad
∠ C' = γ' = 90° = 1.57107963268 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.