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Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 7 units and the length of AB is 5 unit
What is the length, in units, of segment CD? 

 

 Feb 2, 2021
 #1
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The first thing to notice is that the triangles are similar, and right triangles. 

BC = 2sqrt(6)

 

ABC side ratios are 

5 : 2sqrt(6) : 7

 

DAC side ratios are

? : 7 : x, where x = CD

 

Looking for x, 7/(2sqrt(6))*7 = 49sqrt(6)/12

 

I hope this helped. :)))

=^._.^=

 Feb 2, 2021

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