Question #f5910

1 Answer
Jul 28, 2016

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Explanation:

Most likely, polygon #ABCD# has sides of known lengths.
It is also likely that one of the sides of polygon #EFGH# (not #EH#) is also known. For instance, its side #EF#.

If the above is true, we can find the scaling factor as a ratio between lengths of corresponding sides:
#r = (EF)/(AB)#

Since this ratio is constant for any two corresponding lengths,
#r = (EH)/(AD)#

From the last two equations we can derive:
#EH = AD*(EF)/(AB)#