Heronian Triangle - Exact Formula For Heronian Triangles

Exact Formula For Heronian Triangles

All Heronian triangles can be generated as multiples of:

for integers m, n and k where:

.

For example, taking m = 36, n = 4 and k = 3 produces a triangle with a = 5220, b = 900 and c = 5400, which is similar to the 5, 29, 30 Heronian triangle.

See also Heronian triangles with one angle equal to twice another.

Read more about this topic:  Heronian Triangle

Famous quotes containing the words exact, formula and/or triangles:

    Since we are assured that the all-wise Creator has observed the most exact proportions of number, weight and measure in the make of all things, the most likely way therefore to get any insight into the nature of those parts of the Creation which come within our observation must in all reason be to number, weigh and measure.
    Stephen Hales (1677–1761)

    Every formula which expresses a law of nature is a hymn of praise to God.
    Maria Mitchell (1818–1889)

    If triangles had a god, they would give him three sides.
    —Charles Louis de Secondat Montesquieu (1689–1755)