Question 1193602
<br>
A rough sketch (approximately to scale)....<br>
{{{drawing(400,400,0,50,0,50
,line(4,4,20,4),line(4,4,4,16),line(4,16,20,4),line(20,4,44,36),line(4,16,44,36)
,locate(2,17,R),locate(3,3,S),locate(20,3,T),locate(45,37,U)
locate(0,10,12),locate(12,3,16),locate(24,30,35)
)}}}
(1) Diagonal RT is the hypotenuse of right triangle RST.  Use RS=12 and ST=16 to find RT.<br>
(2) RU is the hypotenuse of right triangle RTU.  Use RU=35 and the value you found in (1) for RT to find UT.<br>
Simple use of the Pythagorean Theorem....<br>
Your final answer should be UT = 5*sqrt(33)<br>