# 24 24 29 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 24   c = 29

Area: T = 277.3076576734
Perimeter: p = 77
Semiperimeter: s = 38.5

Angle ∠ A = α = 52.8311100344° = 52°49'52″ = 0.92220766485 rad
Angle ∠ B = β = 52.8311100344° = 52°49'52″ = 0.92220766485 rad
Angle ∠ C = γ = 74.3387799312° = 74°20'16″ = 1.29774393567 rad

Height: ha = 23.10988813945
Height: hb = 23.10988813945
Height: hc = 19.12545914989

Median: ma = 23.7599208741
Median: mb = 23.7599208741
Median: mc = 19.12545914989

Inradius: r = 7.20327682269
Circumradius: R = 15.05991451857

Vertex coordinates: A[29; 0] B[0; 0] C[14.5; 19.12545914989]
Centroid: CG[14.5; 6.3754863833]
Coordinates of the circumscribed circle: U[14.5; 4.06554463132]
Coordinates of the inscribed circle: I[14.5; 7.20327682269]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.1698899656° = 127°10'8″ = 0.92220766485 rad
∠ B' = β' = 127.1698899656° = 127°10'8″ = 0.92220766485 rad
∠ C' = γ' = 105.6622200688° = 105°39'44″ = 1.29774393567 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.