+0  
 
-1
305
4
avatar+3027 

Help.

NotSoSmart  Apr 13, 2017
 #1
avatar+88899 
+3

Look at the following diagram, NSS......

 

 

Triangle DPC  similar to triangle APB......therefore

DP/PC  = AP/PB   .... so.....

DP*PB  = PA*PC

 

So.....the theorem is that when two secants are drawn from an external point outside a circle, the product of the length of one secant and its external segment  equals the product of the length of the other secant and its external segment

 

Applying this to your problem we have that

 

AC*CB = (CD + x) * CD           Note......AC  = AB + BC

 

(AB + BC) * BC  = (CD + x) * CD

 

(34 + 12) * 12  =  (8 + x) * 8        simplify

 

(46)*12  =  64 + 8x

 

552 = 64 + 8x       subtract 64 from both sides

 

488 = 8x               divide both sides by 8

 

61  = x

 

[Looks as though you got the correct answer !!! ]

 

 

cool cool cool

CPhill  Apr 13, 2017
 #2
avatar+3027 
0

Yay thanks!! I understand it more too now that you showed how! :D

NotSoSmart  Apr 13, 2017
 #3
avatar+306 
+2

was that question for school?

Singerforthelord  Apr 13, 2017
 #4
avatar+3027 
+1

A test i'm practicing

NotSoSmart  Apr 13, 2017

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