# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 46.3989654019   b = 49.09217508345   c = 9.48768329805

Area: T = 216
Perimeter: p = 104.9688237834
Semiperimeter: s = 52.4844118917

Angle ∠ A = α = 68.06215195323° = 68°3'41″ = 1.18878976097 rad
Angle ∠ B = β = 101.0043540852° = 101°13″ = 1.7632844344 rad
Angle ∠ C = γ = 10.9354939616° = 10°56'6″ = 0.19108506998 rad

Height: ha = 9.31224212529
Height: hb = 8.87998491122
Height: hc = 45.53767983064

Median: ma = 26.68333281283
Median: mb = 22.77105950735
Median: mc = 47.52436783088

Inradius: r = 4.11655306492
Circumradius: R = 25.00655935101

Vertex coordinates: A[3; 3] B[12; 6] C[6; 52]
Centroid: CG[7; 20.33333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[-0.88002420707; 4.11655306492]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 111.9388480468° = 111°56'19″ = 1.18878976097 rad
∠ B' = β' = 78.99664591483° = 78°59'47″ = 1.7632844344 rad
∠ C' = γ' = 169.0655060384° = 169°3'54″ = 0.19108506998 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.