Answers

2016-02-23T17:28:55+05:30
It will be 19cm,
 
If you can draw the figure correctly I am only writing the solution,
 
Join the center of circles to D and also join A to E by a line segment.
triangle BCD and ABE are right angled triangles right angled at D and E respectively.
Now,
BD^2=(13-8)*(13+8)
=>BD=sqrt(105)
 
say, angle ABD=angle ABE =theta,
tan(theta)=CD/BD =8/r00t(105),
cos(theta)=root(105)/13,
 
also, cos(theta)=BE/AB=BE/26
=>root(105)/13=BE/26
=>BE=2*root(105)
=>DE=root(105)
 
AE/BE=tan(theta)=8/root(105)=> AE=16
 
In Triangle ADE, use Pythagoras theorem
AE^2+DE^2=AD^2
=>AD=root(16^2+105)
=>AD=root(361)
=>AD=19cm
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