# 26 27 29 triangle

### Acute scalene triangle.

Sides: a = 26   b = 27   c = 29

Area: T = 321.4344285664
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 55.1888300788° = 55°11'18″ = 0.96332175573 rad
Angle ∠ B = β = 58.49767842222° = 58°29'48″ = 1.02109614865 rad
Angle ∠ C = γ = 66.31549149898° = 66°18'54″ = 1.15774136098 rad

Height: ha = 24.72657142818
Height: hb = 23.81099470862
Height: hc = 22.16878817699

Median: ma = 24.8199347292
Median: mb = 24.00552077683
Median: mc = 22.18767077323

Inradius: r = 7.84398606259
Circumradius: R = 15.83437185142

Vertex coordinates: A[29; 0] B[0; 0] C[13.58662068966; 22.16878817699]
Centroid: CG[14.19554022989; 7.38992939233]
Coordinates of the circumscribed circle: U[14.5; 6.36105535912]
Coordinates of the inscribed circle: I[14; 7.84398606259]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.8121699212° = 124°48'42″ = 0.96332175573 rad
∠ B' = β' = 121.5033215778° = 121°30'12″ = 1.02109614865 rad
∠ C' = γ' = 113.685508501° = 113°41'6″ = 1.15774136098 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.