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:
“If we define a sign as an exact reference, it must include symbol because a symbol is an exact reference too. The difference seems to be that a sign is an exact reference to something definite and a symbol an exact reference to something indefinite.”
—William York Tindall (1903–1981)
“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)