# 19 24 29 triangle

### Acute scalene triangle.

Sides: a = 19   b = 24   c = 29

Area: T = 226.7333323532
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 40.6577248638° = 40°39'26″ = 0.71096028535 rad
Angle ∠ B = β = 55.38550797811° = 55°23'6″ = 0.96766519987 rad
Angle ∠ C = γ = 83.95876715809° = 83°57'28″ = 1.46553378014 rad

Height: ha = 23.8676665635
Height: hb = 18.89444436277
Height: hc = 15.63767809333

Median: ma = 24.86546335183
Median: mb = 21.37875583264
Median: mc = 16.077015868

Inradius: r = 6.29881478759
Circumradius: R = 14.58110062169

Vertex coordinates: A[29; 0] B[0; 0] C[10.79331034483; 15.63767809333]
Centroid: CG[13.26443678161; 5.21222603111]
Coordinates of the circumscribed circle: U[14.5; 1.53548427597]
Coordinates of the inscribed circle: I[12; 6.29881478759]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.3432751362° = 139°20'34″ = 0.71096028535 rad
∠ B' = β' = 124.6154920219° = 124°36'54″ = 0.96766519987 rad
∠ C' = γ' = 96.04223284191° = 96°2'32″ = 1.46553378014 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.