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AB = mn/(m+n) if AC = m, AD = n in regular heptagon ABCDEFG

Source: 2010 Saudi Arabia Pre-TST 3.3

December 28, 2021

geometryHeptagonRegular

Problem Statement

Let

ABCDEFG

be a regular heptagon. If

AC = m

and

AD = n

, prove that

AB =\frac{mn}{m+n}