Parallel covering of isosceles triangles with squares

摘要

Suppose that T _( h )is an isosceles triangle with base length 1 and with height h . Let S be a square with a side parallel to the base of T _( h )and let { S ~( n )} be a sequence of the homothetic copies of S . We first determine the bound of sums of areas of squares from the sequence { S ~( n )} that permits a parallel covering of T _( h ). Then we show that the results about covering isosceles triangles are also true for acute or right triangles.