# 16 21 29 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 21   c = 29

Area: T = 164.0987531974
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 32.60993428437° = 32°36'34″ = 0.56991403995 rad
Angle ∠ B = β = 45.01770320401° = 45°1'1″ = 0.78656954286 rad
Angle ∠ C = γ = 102.3743625116° = 102°22'25″ = 1.78767568255 rad

Height: ha = 20.51221914968
Height: hb = 15.62883363785
Height: hc = 11.31770711706

Median: ma = 24.02108242989
Median: mb = 20.93444214155
Median: mc = 11.75879760163

Inradius: r = 4.97326524841
Circumradius: R = 14.84548302098

Vertex coordinates: A[29; 0] B[0; 0] C[11.31103448276; 11.31770711706]
Centroid: CG[13.43767816092; 3.77223570569]
Coordinates of the circumscribed circle: U[14.5; -3.1811035045]
Coordinates of the inscribed circle: I[12; 4.97326524841]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.3910657156° = 147°23'26″ = 0.56991403995 rad
∠ B' = β' = 134.983296796° = 134°58'59″ = 0.78656954286 rad
∠ C' = γ' = 77.62663748838° = 77°37'35″ = 1.78767568255 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.