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\(ABCD\) and \(EFGH\) are squares. Find \([EFGH].\)

 

 Dec 11, 2021
 #1
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By Pythagoras, [EFGH] = 40.

 Dec 11, 2021
 #2
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Δ HME ≅ Δ EDF

AM = HM = ED = 5

EM = DF = 3

EF = sqrt(ED2 + DF2)

[EFGH] = 34 square units

 

 Dec 14, 2021

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