SOLUTION: find the length of the segment with the given endpoint and midpoint M. W(5,3) and M(-10,-5)

Question 97277: find the length of the segment with the given endpoint and midpoint M.
W(5,3) and M(-10,-5)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First find the length of the line segment from W to M

Start with the given distance formula
where

is the first point

and

is the second point

Plug in , , ,

Evaluate to get 15. Evaluate to get 8.

Square each value

Add

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

So the distance between (5,3) and (-10,-5) is 17 units

Since the length of the segment through W and M is 17 units, simply double the length to get the total length of the segment

17*2=34

So the total length is 34 units
RELATED QUESTIONS
Find the other endpoint of the line segment with the given endpoint and midpoint... (answered by josmiceli)

Find the coordinates of the other endpoint of a segment with the given endpoint and... (answered by solver91311)

Given line segment AB with midpoint M(5,-1) and endpoint B(8,2), what are the coordinates (answered by stanbon)

Find the coordinates of the other endpoint of the segment, given its midpoint and one... (answered by ikleyn)

You are given an endpoint and the midpoint of a line segment. Find the coordinates of the (answered by drj)

you are given an endpoint and a midpoint of a line segment. find the coordinates of the... (answered by josgarithmetic)

A line segment has one endpoint (3, 5) and midpoint (7, 10). Find the other... (answered by solver91311)

Find the coordinates of the other endpoint of a segment with the given endpoint and... (answered by richwmiller)

find the midpoint of the segment with endpoint (5, -10) and (9,... (answered by ikleyn)