Puzzle 106 - Solution

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Solution:



Draw a diagonal AB from the same corner. 

 Area of triangle ABD is 1/2 of area of trisection. i.e. it is 1/6 area of rectangle.

Area of triangle DBC is 1/3 area of rectangle.

As these two triangles have a common altitude BC, their bases must be in the ratio 1:2

Ratio of AD:DC = 1:2

So point D trisects the line AC.

Similar thing is true for  the the other line.

 

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