# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 16.76330546142   b = 7.61657731059   c = 19.10549731745

Area: T = 63.5
Perimeter: p = 43.48438008946
Semiperimeter: s = 21.74219004473

Angle ∠ A = α = 60.79224035289° = 60°47'33″ = 1.06110276018 rad
Angle ∠ B = β = 23.36330305938° = 23°21'47″ = 0.40877618071 rad
Angle ∠ C = γ = 95.84545658774° = 95°50'40″ = 1.67328032447 rad

Height: ha = 7.57661848257
Height: hb = 16.67659169732
Height: hc = 6.64774838169

Median: ma = 11.8854864324
Median: mb = 17.56441680703
Median: mc = 8.84659030065

Inradius: r = 2.92106278519
Circumradius: R = 9.60224017523

Vertex coordinates: A[-10; -3] B[9; -1] C[-7; 4]
Centroid: CG[-2.66766666667; 0]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[6.76111384918; 2.92106278519]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 119.2087596471° = 119°12'27″ = 1.06110276018 rad
∠ B' = β' = 156.6376969406° = 156°38'13″ = 0.40877618071 rad
∠ C' = γ' = 84.15554341226° = 84°9'20″ = 1.67328032447 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.