Question 579681
<pre>
     AC = 10, BC = 24, AB = 26

{{{drawing(400,520/3,-2,28,-2,11,

line(0,0,26,0), line(26,0,50/13,120/13), line(50/13,120/13,0,0),
locate(0,0,A),locate(26,0,B), locate(3.6,10.5,C) 



)}}}

     Draw altitude CD:

{{{drawing(400,520/3,-2,28,-2,11,
green(line(50/13,120/13,50/13,0)),
line(0,0,26,0), line(26,0,50/13,120/13), line(50/13,120/13,0,0),
locate(0,0,A),locate(26,0,B), locate(3.6,10.5,C),locate(3.84,0,D) 
)}}}
 

       &#5123;ABC &#8764; &#5123;ACD &#8764; &#5123;CBD

Therefore 

           {{{CD/AC}}} = {{{BC/AB}}}

           {{{CD/10}}} = {{{24/26}}}

        26·CD = 24·10

        26·CD = 240

           CD = {{{240/26}}}

           CD = {{{120/13}}} or about 9.231    

 Edwin</pre>