# 13 23 29 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 23   c = 29

Area: T = 145.1632624322
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 25.80224907766° = 25°48'9″ = 0.45503384193 rad
Angle ∠ B = β = 50.36222856093° = 50°21'44″ = 0.87989877027 rad
Angle ∠ C = γ = 103.8355223614° = 103°50'7″ = 1.81222665316 rad

Height: ha = 22.33327114341
Height: hb = 12.62328368976
Height: hc = 10.01112154705

Median: ma = 25.35325146682
Median: mb = 19.30767345763
Median: mc = 11.77992189894

Inradius: r = 4.46765422868
Circumradius: R = 14.93332516557

Vertex coordinates: A[29; 0] B[0; 0] C[8.29331034483; 10.01112154705]
Centroid: CG[12.43110344828; 3.33770718235]
Coordinates of the circumscribed circle: U[14.5; -3.57109949611]
Coordinates of the inscribed circle: I[9.5; 4.46765422868]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.1987509223° = 154°11'51″ = 0.45503384193 rad
∠ B' = β' = 129.6387714391° = 129°38'16″ = 0.87989877027 rad
∠ C' = γ' = 76.1654776386° = 76°9'53″ = 1.81222665316 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.