# 26 28 29 triangle

### Acute scalene triangle.

Sides: a = 26   b = 28   c = 29

Area: T = 329.4676898944
Perimeter: p = 83
Semiperimeter: s = 41.5

Angle ∠ A = α = 54.24222380202° = 54°14'32″ = 0.94767056471 rad
Angle ∠ B = β = 60.9177120308° = 60°55'2″ = 1.06332043202 rad
Angle ∠ C = γ = 64.84106416718° = 64°50'26″ = 1.13216826863 rad

Height: ha = 25.34436076111
Height: hb = 23.53333499246
Height: hc = 22.72218550996

Median: ma = 25.36773017879
Median: mb = 23.71770824513
Median: mc = 22.79880262304

Inradius: r = 7.93989614203
Circumradius: R = 16.02198187342

Vertex coordinates: A[29; 0] B[0; 0] C[12.63879310345; 22.72218550996]
Centroid: CG[13.87993103448; 7.57439516999]
Coordinates of the circumscribed circle: U[14.5; 6.81106234866]
Coordinates of the inscribed circle: I[13.5; 7.93989614203]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.758776198° = 125°45'28″ = 0.94767056471 rad
∠ B' = β' = 119.0832879692° = 119°4'58″ = 1.06332043202 rad
∠ C' = γ' = 115.1599358328° = 115°9'34″ = 1.13216826863 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.