# 13 29 29 triangle

### Acute isosceles triangle.

Sides: a = 13   b = 29   c = 29

Area: T = 183.7044075894
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 25.90443811917° = 25°54'16″ = 0.45221167425 rad
Angle ∠ B = β = 77.04878094041° = 77°2'52″ = 1.34547379556 rad
Angle ∠ C = γ = 77.04878094041° = 77°2'52″ = 1.34547379556 rad

Height: ha = 28.26221655221
Height: hb = 12.66992466134
Height: hc = 12.66992466134

Median: ma = 28.26221655221
Median: mb = 17.16882847134
Median: mc = 17.16882847134

Inradius: r = 5.17547627012
Circumradius: R = 14.87985484846

Vertex coordinates: A[29; 0] B[0; 0] C[2.91437931034; 12.66992466134]
Centroid: CG[10.63879310345; 4.22330822045]
Coordinates of the circumscribed circle: U[14.5; 3.33548470741]
Coordinates of the inscribed circle: I[6.5; 5.17547627012]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.0965618808° = 154°5'44″ = 0.45221167425 rad
∠ B' = β' = 102.9522190596° = 102°57'8″ = 1.34547379556 rad
∠ C' = γ' = 102.9522190596° = 102°57'8″ = 1.34547379556 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.