# 11 19 29 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 19   c = 29

Area: T = 53.52774462309
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 11.20333672273° = 11°12'12″ = 0.19655356454 rad
Angle ∠ B = β = 19.60987403169° = 19°36'31″ = 0.34222370807 rad
Angle ∠ C = γ = 149.1887892456° = 149°11'16″ = 2.60438199275 rad

Height: ha = 9.73222629511
Height: hb = 5.63444680243
Height: hc = 3.69215480159

Median: ma = 23.89903746308
Median: mb = 19.76773974008
Median: mc = 5.54552682532

Inradius: r = 1.81444897027
Circumradius: R = 28.30879075632

Vertex coordinates: A[29; 0] B[0; 0] C[10.36220689655; 3.69215480159]
Centroid: CG[13.12106896552; 1.23105160053]
Coordinates of the circumscribed circle: U[14.5; -24.31222938163]
Coordinates of the inscribed circle: I[10.5; 1.81444897027]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.7976632773° = 168°47'48″ = 0.19655356454 rad
∠ B' = β' = 160.3911259683° = 160°23'29″ = 0.34222370807 rad
∠ C' = γ' = 30.81221075443° = 30°48'44″ = 2.60438199275 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.