Answer :
The correct option is (E) 17.
The length of line segment ST is 17 unit.
What is line segment?
A line segment would be a section of a line with two ends and then a fixed length. It differs from a line that has no beginning or end point and can be lengthened in both directions.
Some key features of line segment are-
- A line has no endpoints and therefore cannot be measured.
- Because a line segment does have a beginning and an ending point, it can be evaluated.
- Because line segments get a fixed length, they can be used to form a sides of the any polygon.
- Because a ray has only one starting point and no ending point, it cannot be evaluated.
- A concept of rays can be comprehended by looking at the sun's rays, which have a starting point but still no endpoint.
Now, according to the question;
PR=RT (as R is the midpoint of line segment PT)
and PQ=QR (as Q is the midpoint of line segment PR)
Consider QR=PQ=x ,
Then, PR=RT=2x
QS=10 , PS=19 (given)
PS=PQ+QS
PS=PQ+10 =19
PQ=9
So, PT=4x=36
ST=PT−PS
=36−19
ST=17
Therefore, the length of line segment ST is found to be 17 units.
To know more about line segment, here
https://brainly.com/question/17374569
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