Answer to Question #100747 in Geometry for Jtk

Question

Find all heronian triangle with one altitude with 40cm

Answer 1

A Heronian triangle is a triangle that has side lengths and area that are all integers.

Also,

$$Area=\frac{1}{2}base\times height\\=\frac{1}{2}base\times 40\\=base\times 20$$

For area to be integer the base should be a natural number. Lengths of two other sides of the triangle also should be natural.