# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene Pythagorean triangle.

Sides: a = 11.18803398875   b = 6.70882039325   c = 8.944427191

Area: T = 30
Perimeter: p = 26.833281573
Semiperimeter: s = 13.4166407865

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 5.3676563146
Height: hb = 8.944427191
Height: hc = 6.70882039325

Median: ma = 5.59901699437
Median: mb = 9.55224865873
Median: mc = 8.06222577483

Inradius: r = 2.23660679775
Circumradius: R = 5.59901699437

Vertex coordinates: A[-2; 4] B[6; 0] C[-5; -2]
Centroid: CG[-0.33333333333; 0.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.981142397; 2.23660679775]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 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.