Heronian Triangle - Equable Triangles

Equable Triangles

A shape is called equable if its area equals its perimeter. There are exactly five equable Heronian triangles: the ones with side lengths (5,12,13), (6,8,10), (6,25,29), (7,15,20), and (9,10,17).

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