# 8 24 29 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 24   c = 29

Area: T = 81.79881509571
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 13.59546973238° = 13°35'41″ = 0.23772722291 rad
Angle ∠ B = β = 44.84221867146° = 44°50'32″ = 0.7832643802 rad
Angle ∠ C = γ = 121.5633115962° = 121°33'47″ = 2.12216766225 rad

Height: ha = 20.45495377393
Height: hb = 6.81765125798
Height: hc = 5.64112517901

Median: ma = 26.31553947339
Median: mb = 17.56441680703
Median: mc = 10.47661634199

Inradius: r = 2.68219065888
Circumradius: R = 17.01774995854

Vertex coordinates: A[29; 0] B[0; 0] C[5.67224137931; 5.64112517901]
Centroid: CG[11.55774712644; 1.88804172634]
Coordinates of the circumscribed circle: U[14.5; -8.90875974392]
Coordinates of the inscribed circle: I[6.5; 2.68219065888]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.4055302676° = 166°24'19″ = 0.23772722291 rad
∠ B' = β' = 135.1587813285° = 135°9'28″ = 0.7832643802 rad
∠ C' = γ' = 58.43768840384° = 58°26'13″ = 2.12216766225 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.