# 16 28 29 triangle

### Acute scalene triangle.

Sides: a = 16   b = 28   c = 29

Area: T = 218.4055442927
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 32.54438173506° = 32°32'38″ = 0.56879967639 rad
Angle ∠ B = β = 70.28884838181° = 70°17'19″ = 1.22767654689 rad
Angle ∠ C = γ = 77.16876988313° = 77°10'4″ = 1.34768304208 rad

Height: ha = 27.30106803658
Height: hb = 15.66003887805
Height: hc = 15.06224443398

Median: ma = 27.35987280406
Median: mb = 18.77549833555
Median: mc = 17.65997159068

Inradius: r = 5.98437107651
Circumradius: R = 14.87114242488

Vertex coordinates: A[29; 0] B[0; 0] C[5.39765517241; 15.06224443398]
Centroid: CG[11.46655172414; 5.02108147799]
Coordinates of the circumscribed circle: U[14.5; 3.30329167695]
Coordinates of the inscribed circle: I[8.5; 5.98437107651]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.4566182649° = 147°27'22″ = 0.56879967639 rad
∠ B' = β' = 109.7121516182° = 109°42'41″ = 1.22767654689 rad
∠ C' = γ' = 102.8322301169° = 102°49'56″ = 1.34768304208 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.