# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 5.83109518948   b = 9.48768329805   c = 7.21111025509

Area: T = 21
Perimeter: p = 22.52988874263
Semiperimeter: s = 11.26444437131

Angle ∠ A = α = 37.87549836511° = 37°52'30″ = 0.66110431689 rad
Angle ∠ B = β = 92.72663109939° = 92°43'35″ = 1.61883794301 rad
Angle ∠ C = γ = 49.3998705355° = 49°23'55″ = 0.86221700547 rad

Height: ha = 7.2032940576
Height: hb = 4.42771887242
Height: hc = 5.82443520604

Median: ma = 7.90656941504
Median: mb = 4.52876925691
Median: mc = 7

Inradius: r = 1.86442731532
Circumradius: R = 4.74987914682

Vertex coordinates: A[-3; 6] B[-7; 12] C[-12; 9]
Centroid: CG[-7.33333333333; 9]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.08987749121; 1.86442731532]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.1255016349° = 142°7'30″ = 0.66110431689 rad
∠ B' = β' = 87.27436890061° = 87°16'25″ = 1.61883794301 rad
∠ C' = γ' = 130.6011294645° = 130°36'5″ = 0.86221700547 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.