If Y is the incenter of STU find each missing measure
Line YW = \(\sqrt{26^2 - 24^2} = 10\)
This means XY and VY are also 10 units.
SX = \(\sqrt{29^2 - 10^2} = \sqrt{741} \)
This means VS is also \(\sqrt{741}\)
VP = 24
+592 
