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ABCD is a square and K is the midpoint of BD.  E is on CK such that angle EDC = angle ECA.  What is the ratio of the area of trianlge AKE so the area of ABCD?

 

 Dec 21, 2019
 #1
avatar+1490 
+1

The ratio of the shaded triangle to the square is  1 : 10

smiley

 Dec 21, 2019
 #2
avatar+12530 
+2

ABCD is a square and K is the midpoint of BD.  E is on CK such that angle EDC = angle ECA.  What is the ratio of the area of trianlge AKE so the area of ABCD?

 

100 units - 90 units = 10 units

10/100=1/10

laugh

 Dec 21, 2019

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