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Square BCFE is inscribed in right triangle AGD, as shown below. If AB = 28 units and CD = 68 units, what is the area of square BCFE?

 

 Apr 19, 2021
 #1
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Square BCFE is inscribed in the right triangle AGD, as shown below. If AB = 28 units and CD = 68 units, what is the area of square BCFE?

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

∠ABE ~ ∠CDF

 

x / 28 = 68 / x

 

x2 = 1904

 

[BCFE] = 1904 u2

 Apr 19, 2021
 #2
avatar+1425 
+2

Oops! I didn't mean that...cheeky

 

I meant that ΔABE ~ ΔCDF

jugoslav  Apr 19, 2021
edited by jugoslav  Apr 19, 2021

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