# 11 29 29 triangle

### Acute isosceles triangle.

Sides: a = 11   b = 29   c = 29

Area: T = 156.6055196274
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 21.86553222896° = 21°51'55″ = 0.3821621866 rad
Angle ∠ B = β = 79.06773388552° = 79°4'2″ = 1.38799853938 rad
Angle ∠ C = γ = 79.06773388552° = 79°4'2″ = 1.38799853938 rad

Height: ha = 28.47436720498
Height: hb = 10.88003583637
Height: hc = 10.88003583637

Median: ma = 28.47436720498
Median: mb = 16.45444826719
Median: mc = 16.45444826719

Inradius: r = 4.53992810514
Circumradius: R = 14.76880284884

Vertex coordinates: A[29; 0] B[0; 0] C[2.08662068966; 10.88003583637]
Centroid: CG[10.36220689655; 3.66001194546]
Coordinates of the circumscribed circle: U[14.5; 2.80108329892]
Coordinates of the inscribed circle: I[5.5; 4.53992810514]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.135467771° = 158°8'5″ = 0.3821621866 rad
∠ B' = β' = 100.9332661145° = 100°55'58″ = 1.38799853938 rad
∠ C' = γ' = 100.9332661145° = 100°55'58″ = 1.38799853938 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.