Question

Given ∠RUY=90° and ∠RST=90°
Find YT=

Answer 1

YT= 23

We know that:

line RU is 32 and US is 16

line RY is 46

In other words, RU = 32, US = 16, and RY = 46

so we use the triangle proportionality theorem to state that:

`(RU)/(US)=(RY)/(YT)`

Input your values

`(32)/(16) =(46)/(YT)`

Use cross products :

`32YT=(16)(46)`

Simplify:

`32YT=736`

`(32YT)/(32) =(736)/(32)`

`YT=23`

I hope this answers you question :)