# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 12.24774487139   b = 5.09990195136   c = 7.48333147735

Area: T = 8.66602540378
Perimeter: p = 24.83297830011
Semiperimeter: s = 12.41548915005

Angle ∠ A = α = 153.0044491599° = 153°16″ = 2.67704321487 rad
Angle ∠ B = β = 10.89333946491° = 10°53'36″ = 0.19901256033 rad
Angle ∠ C = γ = 16.1022113752° = 16°6'8″ = 0.28110349015 rad

Height: ha = 1.41442135624
Height: hb = 3.39768311024
Height: hc = 2.31545502494

Median: ma = 1.87108286934
Median: mb = 9.82334413522
Median: mc = 8.6022325267

Inradius: r = 0.69875698529
Circumradius: R = 13.49107375632

Vertex coordinates: A[3; 1; -2] B[-1; 3; 4] C[4; -2; -6]
Centroid: CG[2; 0.66766666667; -1.33333333333]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 26.99655084011° = 26°59'44″ = 2.67704321487 rad
∠ B' = β' = 169.1076605351° = 169°6'24″ = 0.19901256033 rad
∠ C' = γ' = 163.8987886248° = 163°53'52″ = 0.28110349015 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.