# 13 28 29 triangle

### Acute scalene triangle.

Sides: a = 13   b = 28   c = 29

Area: T = 179.8333256101
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 26.29215552747° = 26°17'30″ = 0.4598874205 rad
Angle ∠ B = β = 72.55883278237° = 72°33'30″ = 1.26663817203 rad
Angle ∠ C = γ = 81.15501169016° = 81°9' = 1.41663367283 rad

Height: ha = 27.66766547848
Height: hb = 12.84552325787
Height: hc = 12.40222935242

Median: ma = 27.75333781728
Median: mb = 17.57883958312
Median: mc = 16.31771688721

Inradius: r = 5.13880930315
Circumradius: R = 14.67547050974

Vertex coordinates: A[29; 0] B[0; 0] C[3.89765517241; 12.40222935242]
Centroid: CG[10.96655172414; 4.13440978414]
Coordinates of the circumscribed circle: U[14.5; 2.25876469381]
Coordinates of the inscribed circle: I[7; 5.13880930315]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.7088444725° = 153°42'30″ = 0.4598874205 rad
∠ B' = β' = 107.4421672176° = 107°26'30″ = 1.26663817203 rad
∠ C' = γ' = 98.85498830984° = 98°51' = 1.41663367283 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.