# 19 20 29 triangle

### Obtuse scalene triangle.

Sides: a = 19   b = 20   c = 29

Area: T = 188.9444436277
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 40.6577248638° = 40°39'26″ = 0.71096028535 rad
Angle ∠ B = β = 43.33004229429° = 43°18'2″ = 0.75657349479 rad
Angle ∠ C = γ = 96.04223284191° = 96°2'32″ = 1.67662548522 rad

Height: ha = 19.88988880291
Height: hb = 18.89444436277
Height: hc = 13.03106507777

Median: ma = 23.02771578793
Median: mb = 22.38330292856
Median: mc = 13.04879883507

Inradius: r = 5.55771893023
Circumradius: R = 14.58110062169

Vertex coordinates: A[29; 0] B[0; 0] C[13.82875862069; 13.03106507777]
Centroid: CG[14.2765862069; 4.34435502592]
Coordinates of the circumscribed circle: U[14.5; -1.53548427597]
Coordinates of the inscribed circle: I[14; 5.55771893023]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.3432751362° = 139°20'34″ = 0.71096028535 rad
∠ B' = β' = 136.7699577057° = 136°41'58″ = 0.75657349479 rad
∠ C' = γ' = 83.95876715809° = 83°57'28″ = 1.67662548522 rad

# How did we calculate this triangle?

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. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. 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.