# 16 27 29 triangle

### Acute scalene triangle.

Sides: a = 16   b = 27   c = 29

Area: T = 212.9798872192
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 32.95768545469° = 32°57'25″ = 0.57552056229 rad
Angle ∠ B = β = 66.637721368° = 66°38'14″ = 1.16330387831 rad
Angle ∠ C = γ = 80.40659317731° = 80°24'21″ = 1.40333482476 rad

Height: ha = 26.62223590239
Height: hb = 15.77662127549
Height: hc = 14.68881980822

Median: ma = 26.85114431642
Median: mb = 19.1387659209
Median: mc = 16.88002976164

Inradius: r = 5.91660797831
Circumradius: R = 14.70656840323

Vertex coordinates: A[29; 0] B[0; 0] C[6.34548275862; 14.68881980822]
Centroid: CG[11.78216091954; 4.89660660274]
Coordinates of the circumscribed circle: U[14.5; 2.45109473387]
Coordinates of the inscribed circle: I[9; 5.91660797831]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.0433145453° = 147°2'35″ = 0.57552056229 rad
∠ B' = β' = 113.363278632° = 113°21'46″ = 1.16330387831 rad
∠ C' = γ' = 99.59440682269° = 99°35'39″ = 1.40333482476 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.