+0  
 
+1
178
1
avatar

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

 

Guest Nov 25, 2017
Sort: 

1+0 Answers

 #1
avatar+86568 
+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

32 Online Users

avatar
avatar
New Privacy Policy (May 2018)
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  Privacy Policy