in segment pt, l is the midpoint of pa and a is the midpoint of pn. if pn = 17 and la = 3.5, what is the length of nt?
where the heck is t?
Now, if you want na, note that
la=3.5, so lp=3.5, and pa=7
so, an=7,pn=14
To find the length of nt, we can use the concept of midpoints in a segment.
Given that l is the midpoint of pa, we can say that pl = la. Similarly, a is the midpoint of pn, so na = ap.
Now, let's analyze the relationship between the different segments:
pl = la, which means that pn = pl + ln
Since we know that pn = 17, and la = 3.5, we can substitute these values into the equation:
17 = pl + ln + 3.5
Now, let's focus on the fact that a is the midpoint of pn, which means that ap = na.
Since ap = na, we can rewrite the equation:
17 = 3.5 + ln + ln
Simplifying the equation:
17 = 3.5 + 2ln
Next, subtract 3.5 from both sides:
17 - 3.5 = 2ln
Simplifying further:
13.5 = 2ln
Now, divide both sides by 2 to solve for ln:
ln = 13.5 / 2
ln = 6.75
Therefore, the length of nt is equal to ln, which is 6.75 units.