# 19 29 29 triangle

### Acute isosceles triangle.

Sides: a = 19   b = 29   c = 29

Area: T = 260.2988266418
Perimeter: p = 77
Semiperimeter: s = 38.5

Angle ∠ A = α = 38.24546667831° = 38°14'41″ = 0.66774953567 rad
Angle ∠ B = β = 70.87876666085° = 70°52'40″ = 1.23770486484 rad
Angle ∠ C = γ = 70.87876666085° = 70°52'40″ = 1.23770486484 rad

Height: ha = 27.43998175176
Height: hb = 17.95216045805
Height: hc = 17.95216045805

Median: ma = 27.43998175176
Median: mb = 19.76773974008
Median: mc = 19.76773974008

Inradius: r = 6.76109939329
Circumradius: R = 15.34768175374

Vertex coordinates: A[29; 0] B[0; 0] C[6.2244137931; 17.95216045805]
Centroid: CG[11.74113793103; 5.98438681935]
Coordinates of the circumscribed circle: U[14.5; 5.0277405745]
Coordinates of the inscribed circle: I[9.5; 6.76109939329]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.7555333217° = 141°45'19″ = 0.66774953567 rad
∠ B' = β' = 109.1222333392° = 109°7'20″ = 1.23770486484 rad
∠ C' = γ' = 109.1222333392° = 109°7'20″ = 1.23770486484 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.