SOLUTION: In quadrilateral RSTU, RS ⊥ ST and UT ⊥ diagonal RT. If RS = 12, ST = 16, and RU = 35,find UT

Algebra ->  Formulas -> SOLUTION: In quadrilateral RSTU, RS ⊥ ST and UT ⊥ diagonal RT. If RS = 12, ST = 16, and RU = 35,find UT      Log On


   

Question 1193602: In quadrilateral RSTU, RS ⊥ ST and UT ⊥ diagonal RT.
If RS = 12, ST = 16, and RU = 35,find UT
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A rough sketch (approximately to scale)....


(1) Diagonal RT is the hypotenuse of right triangle RST. Use RS=12 and ST=16 to find RT.

(2) RU is the hypotenuse of right triangle RTU. Use RU=35 and the value you found in (1) for RT to find UT.

Simple use of the Pythagorean Theorem....

Your final answer should be UT = 5*sqrt(33)