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

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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)   (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)


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