# 14 26 29 triangle

### Acute scalene triangle.

Sides: a = 14   b = 26   c = 29

Area: T = 181.8354918264
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 28.83770830876° = 28°50'13″ = 0.50333020465 rad
Angle ∠ B = β = 63.60334476543° = 63°36'12″ = 1.11100895772 rad
Angle ∠ C = γ = 87.55994692581° = 87°33'34″ = 1.52882010299 rad

Height: ha = 25.97664168948
Height: hb = 13.98773014049
Height: hc = 12.54403391906

Median: ma = 26.63664412037
Median: mb = 18.69549190958
Median: mc = 15.02549792013

Inradius: r = 5.2710577341
Circumradius: R = 14.51331640567

Vertex coordinates: A[29; 0] B[0; 0] C[6.2244137931; 12.54403391906]
Centroid: CG[11.74113793103; 4.18801130635]
Coordinates of the circumscribed circle: U[14.5; 0.61880056123]
Coordinates of the inscribed circle: I[8.5; 5.2710577341]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.1632916912° = 151°9'47″ = 0.50333020465 rad
∠ B' = β' = 116.3976552346° = 116°23'48″ = 1.11100895772 rad
∠ C' = γ' = 92.44105307419° = 92°26'26″ = 1.52882010299 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.