Katy MO

Kate draw triangle ABC. Middle of AB have mark as X and the center of the side AC as Y. On the side BC wants to find the point Z such that the content area of a 4gon AXZY was greatest. What part of the triangle ABC can maximally occupy 4-gon AXZY?

Result

x =  0.5

Solution:

$x=1/2 = \dfrac{ 1 }{ 2 } = 0.5$

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