# 13 19 29 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 19   c = 29

Area: T = 95.9544090585
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 20.38328028852° = 20°22'58″ = 0.35657470211 rad
Angle ∠ B = β = 30.6599923623° = 30°36' = 0.53440694181 rad
Angle ∠ C = γ = 129.0177273492° = 129°1'2″ = 2.25217762144 rad

Height: ha = 14.76221677823
Height: hb = 10.11004305879
Height: hc = 6.61875234886

Median: ma = 23.63878933071
Median: mb = 20.36554118544
Median: mc = 7.39993242935

Inradius: r = 3.14660357569
Circumradius: R = 18.66325707052

Vertex coordinates: A[29; 0] B[0; 0] C[11.19896551724; 6.61875234886]
Centroid: CG[13.39765517241; 2.20658411629]
Coordinates of the circumscribed circle: U[14.5; -11.7499108278]
Coordinates of the inscribed circle: I[11.5; 3.14660357569]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.6177197115° = 159°37'2″ = 0.35657470211 rad
∠ B' = β' = 149.4400076377° = 149°24' = 0.53440694181 rad
∠ C' = γ' = 50.98327265083° = 50°58'58″ = 2.25217762144 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.