M·C, IST: area of (constrained) random triangles

Area of triangles with given perimeter

Simulates triangles constrained to a given perimeter.

2024.Nov.25 05:48:49

Perimeter of triangles. •

lg N, seed

Lg (i.e., log₁₀) of n. of trials, and seed. •

klass

Histogram classes. •

Show values ?

Shows the coordinates of the graph. •

Simulates triangles randomly, with constrained (given) perimeter, to compute their area. The sides, a, b, c, are: a, uniformly distributed; and b and c, random, to form a legitimate triangle. The area is computed by Heron's formula.

Plots the density (f) and cumulative distribution (F) for the simulated variable.

References:

Plate: TriAreaGivenPerimeter

• Triangle formulas (Vitutor)

• Wikipedia: Triangle. Triangle inequality.

• 1791-12-26: Babbage, Charles (1871-10-18). (John H. Conway)

http://web.ist.utl.pt/~mcasquilho/compute/qc/Fx-triAreaGivenPerim.php
Created: 2016-12-26 — Last modified: 2016-12-28