This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Let theta = angle CAB. Then the area of triangle ABC can be written in two ways and equated. That is, 2 1 b a s e . h e i g h t = s e m i p e r i m e t e r . I n C i r c l e R a d i u s 2 2 6 cos θ . 2 6 sin θ = 2 2 6 cos θ + 2 6 sin θ + 2 6 r On line OT'T 2 r = 1 3 − 1 3 sin θ equating the two expressions for r 5 sin θ = 1 + cos θ Giving tan θ = 1 2 5 Hence OT' = 5 and T'T = 2r = 8