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Geometry 17 Online
OpenStudy (anonymous):

Hello, How do I calculate the midpoint of a line if I don't know the slope?

OpenStudy (stefrheart):

You dont need the slope

OpenStudy (anonymous):

\[\left( \frac{ x _{1}+x _{2} }{ 2 },\frac{ y _{1}+y _{2} }{ 2 }\right)\]

OpenStudy (anonymous):

That's the midpoint, you'll have answer as (x,y).

OpenStudy (anonymous):

Well, I think I do because the word problem is asking about someone walking up a hill. Normal midpoint of 928 feet would be 464. But the word problem refers to walking up a hill.

OpenStudy (stefrheart):

It still applies. No slope is necessary for midpoint

OpenStudy (anonymous):

OK. This doesn't have anything to do with coordinate proof? : Joe is walking up a hill toward the top. The distance from the bottom to the top is 928 feet. How far, in feet, will he have walked when he reaches the midpoint of his walk up the hill?

OpenStudy (anonymous):

Can you draw a diagram.

OpenStudy (anonymous):

I've been trying. Joe starts at (0,0) and rises to (x, 928). I'm confused ...

OpenStudy (paxpolaris):

do we know the angle of the slope then?

OpenStudy (anonymous):

No angle of the slope. I could assume one but I'm sure that's not what the teacher is looking for.

OpenStudy (anonymous):

I'm just going to put in 464 feet, I guess. Thanks.

OpenStudy (gorv):

you just need the end points of line to find the mid point

OpenStudy (anonymous):

Yeah, which I don't get from the problem. Thanks. I just don't understand what it's getting at.

OpenStudy (aum):

|dw:1412574770438:dw|

OpenStudy (gorv):

can u post the Q ??

OpenStudy (anonymous):

Here it is: Joe is walking up a hill toward the top. The distance from the bottom to the top is 928 feet. How far, in feet, will he have walked when he reaches the midpoint of his walk up the hill? Thank you.

OpenStudy (gorv):

total length is given 2 you

OpenStudy (gorv):

mid means half

OpenStudy (anonymous):

Yes: 464 feet but that feels like a strangely easy answer

OpenStudy (aum):

C will be the midpoint of the line AB no matter what the slope of the hill is. By similar triangles you can see E will be the midpoint of AD = (x1 + x2) / 2 and F will be the midpoint of BD = (y1 + y2)/2

OpenStudy (gorv):

the line that will join bottom and top will be a straight line

OpenStudy (gorv):

mid point means two equal part

OpenStudy (gorv):

he ia at equal diatance from top and bottom both

OpenStudy (anonymous):

Yup. OK Thanks for supporting me. Good night.

OpenStudy (gorv):

which means he has covered the half of the total distance

OpenStudy (aum):

You are welcome.

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