# 28 29 29 triangle

### Acute isosceles triangle.

Sides: a = 28   b = 29   c = 29

Area: T = 355.5565902778
Perimeter: p = 86
Semiperimeter: s = 43

Angle ∠ A = α = 57.731145483° = 57°43'53″ = 1.00876039688 rad
Angle ∠ B = β = 61.1344272585° = 61°8'3″ = 1.06769943424 rad
Angle ∠ C = γ = 61.1344272585° = 61°8'3″ = 1.06769943424 rad

Height: ha = 25.39768501984
Height: hb = 24.52110967433
Height: hc = 24.52110967433

Median: ma = 25.39768501984
Median: mb = 24.54107823836
Median: mc = 24.54107823836

Inradius: r = 8.26987419251
Circumradius: R = 16.55771713309

Vertex coordinates: A[29; 0] B[0; 0] C[13.51772413793; 24.52110967433]
Centroid: CG[14.17224137931; 8.17436989144]
Coordinates of the circumscribed circle: U[14.5; 7.99331171942]
Coordinates of the inscribed circle: I[14; 8.26987419251]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.269854517° = 122°16'7″ = 1.00876039688 rad
∠ B' = β' = 118.8665727415° = 118°51'57″ = 1.06769943424 rad
∠ C' = γ' = 118.8665727415° = 118°51'57″ = 1.06769943424 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.