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A square sheet of paper ABCD is folded such that B falls on the midpoint M of CD. In what ratio does the crease divide BC?

 Jan 23, 2021
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A square sheet of paper ABCD is folded such that B falls on the midpoint M of CD. In what ratio does the crease divide BC?

laugh

 Jan 23, 2021
edited by Omi67  Jan 23, 2021
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A square sheet of paper ABCD is folded such that B falls on the midpoint M of CD. In what ratio does the crease divide BC?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

BC = 4           y = 4 - x          z = 2

 

Using Omi's diagram we have:

 

x2 = y2 - z2              x = sqrt{ (4 - x)2 - 22}             x = 1.5

 

Ratio  y : x = 5 : 3

 Jan 23, 2021
edited by jugoslav  Jan 23, 2021

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