In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. ?

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1 Answer
Mar 2, 2018

CD=6

Explanation:

taken from questiontaken from question
I assume that angle CXD=angle AXB

Now
angle D=angle B=90°
angle CXD=angle AXB

So triangle ABX~~triangle CDX (AA similarity)

=>(CD)/(AB)=(DX)/(BX)

=>(CD)/(12)=(2.5)/5

=>(CD)/12=1/2

=>(CD)=12*1/2

=>CD=6
Hope it helps