# 17 22 29 triangle

### Obtuse scalene triangle.

Sides: a = 17   b = 22   c = 29

Area: T = 186.2265669552
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 35.71768160037° = 35°43'1″ = 0.62333760376 rad
Angle ∠ B = β = 49.06772754258° = 49°4'2″ = 0.85663855112 rad
Angle ∠ C = γ = 95.21659085705° = 95°12'57″ = 1.66218311048 rad

Height: ha = 21.90989023002
Height: hb = 16.93296063229
Height: hc = 12.84331496243

Median: ma = 24.29550612265
Median: mb = 21.07113075057
Median: mc = 13.27659180474

Inradius: r = 5.47772255751
Circumradius: R = 14.56602913203

Vertex coordinates: A[29; 0] B[0; 0] C[11.13879310345; 12.84331496243]
Centroid: CG[13.37993103448; 4.28110498748]
Coordinates of the circumscribed circle: U[14.5; -1.32436628473]
Coordinates of the inscribed circle: I[12; 5.47772255751]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.2833183996° = 144°16'59″ = 0.62333760376 rad
∠ B' = β' = 130.9332724574° = 130°55'58″ = 0.85663855112 rad
∠ C' = γ' = 84.78440914295° = 84°47'3″ = 1.66218311048 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.