Heron triangle

A Heronian triangle is a triangle having rational side lengths and rational area. The triangles are so named because such triangles are related to Heron's formula Δ = sqrt(s(s - a)(s - b)(s - c)) giving a triangle area Δ in terms of its side lengths a, b, c and semiperimeter s = (a + b + c)/2. Finding a Heronian triangle is therefore equivalent to solving the Diophantine equation Δ^2 = s(s - a)(s - b)(s - c).

Heronian tetrahedron | Heron's formula | integer triangle | perfect cuboid | Pythagorean triple | rational triangle | triangle | triangle median