Triangle calculator VC
Acute scalene triangle.
Sides: a = 8.18553527719 b = 7.21111025509 c = 5.19661524227Area: T = 18.49332420089
Perimeter: p = 20.59326077455
Semiperimeter: s = 10.29663038728
Angle ∠ A = α = 80.78656651981° = 80°47'8″ = 1.41099758461 rad
Angle ∠ B = β = 60.41331739829° = 60°24'47″ = 1.05444087976 rad
Angle ∠ C = γ = 38.8011160819° = 38°48'4″ = 0.67772080099 rad
Height: ha = 4.51986182011
Height: hb = 5.12991024856
Height: hc = 7.1188052168
Median: ma = 4.77696960071
Median: mb = 5.83109518948
Median: mc = 7.26329195232
Inradius: r = 1.79661049166
Circumradius: R = 4.14661776944
Vertex coordinates: A[2; -2; 3] B[5; 1; 6] C[8; -6; 3]
Centroid: CG[5; -2.33333333333; 4]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 99.21443348019° = 99°12'52″ = 1.41099758461 rad
∠ B' = β' = 119.5876826017° = 119°35'13″ = 1.05444087976 rad
∠ C' = γ' = 141.1998839181° = 141°11'56″ = 0.67772080099 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
