# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 519.1398709788   b = 325.0110769052   c = 200.9900472871

Area: T = 10602
Perimeter: p = 1045.054995171
Semiperimeter: s = 522.5254975856

Angle ∠ A = α = 161.0550026851° = 161°3' = 2.8110853229 rad
Angle ∠ B = β = 11.73304402549° = 11°43'50″ = 0.20547348052 rad
Angle ∠ C = γ = 7.22195328941° = 7°13'10″ = 0.12660046195 rad

Height: ha = 40.84545750629
Height: hb = 65.24109151298
Height: hc = 105.545479886

Median: ma = 74.96883266453
Median: mb = 358.5043835405
Median: mc = 421.2821675367

Inradius: r = 20.2989939218
Circumradius: R = 799.3088318061

Vertex coordinates: A[76; 316] B[57; 516] C[0; 0]
Centroid: CG[44.33333333333; 277.3333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[97.71549463839; 20.2989939218]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 18.9549973149° = 18°57' = 2.8110853229 rad
∠ B' = β' = 168.2769559745° = 168°16'10″ = 0.20547348052 rad
∠ C' = γ' = 172.7880467106° = 172°46'50″ = 0.12660046195 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.