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## 'Pareq Calc' printed from http://nrich.maths.org/

Triangle **ABC** is an equilateral triangle and the
three lines marked with arrows in the diagram are parallel. If the
perpendicular distances between the parallel lines are 1 unit and 2
units then calculate the length of the sides of the triangle.
Suppose the distances between the parallel lines are *a*
units and *b* units then what is the length of the sides of
the triangle?