Triangle calculator VC
Acute scalene triangle.
Sides: a = 6.40331242374 b = 8.48552813742 c = 10.05498756211Area: T = 27
Perimeter: p = 24.93882812328
Semiperimeter: s = 12.46991406164
Angle ∠ A = α = 39.28994068625° = 39°17'22″ = 0.68657295109 rad
Angle ∠ B = β = 57.05107848834° = 57°3'3″ = 0.99657240371 rad
Angle ∠ C = γ = 83.66598082541° = 83°39'35″ = 1.46601391056 rad
Height: ha = 8.4333383142
Height: hb = 6.36439610307
Height: hc = 5.37332008271
Median: ma = 8.73221245983
Median: mb = 7.28801098893
Median: mc = 5.59901699437
Inradius: r = 2.16553456987
Circumradius: R = 5.05658607966
Vertex coordinates: A[1; 3] B[11; 4] C[7; 9]
Centroid: CG[6.33333333333; 5.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.40334648047; 2.16553456987]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.7110593137° = 140°42'38″ = 0.68657295109 rad
∠ B' = β' = 122.9499215117° = 122°56'57″ = 0.99657240371 rad
∠ C' = γ' = 96.34401917459° = 96°20'25″ = 1.46601391056 rad
Calculate another triangle
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
