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In the figure below, AB = AC = 50, AD = 52, and BC =28. Determine CD.

 

Guest Nov 25, 2017
 #1
avatar+87294 
+2

Since ABC is isosceles, its altitude will  bisect BC.....  and can be found as :  

 

sqrt ( 50^2 - 14^2)  =  sqrt (2304) = 48

 

So......call the intersection point of the altitude  and BC, E

 

So  ED  =

 

sqrt (52^2 - 48^2 )  = sqrt (400)  = 20

 

And    CD  =  ED - (1/2)BC   =   20 - 14   =   6 units 

 

 

cool cool cool

CPhill  Nov 25, 2017

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