Question

PLEASE HELP, WILL FAN AND GIVE MEDAL!!!!!! Point G is located at (3, -1) and point H is located at (-2, 3). Find the point that is the distance from point G to point H.

Answer 1

@sourwing

Answer 2

"Find the point that is the distance from"
^
is there anything missing there?

Answer 3

or you just need how long from G to H?

Answer 4

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
G&({\color{red}{ 3}}\quad ,&{\color{blue}{ -1}})\quad H&({\color{red}{ -2}}\quad ,&{\color{blue}{ 3}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

Answer 5

oh its 2/3 the distance, sorry bout that

Answer 6

@jdoe0001

Answer 7

hmm 2/3 the distance? from G to H? any ideas what that means?

Answer 8

well we have to find the point where that would be

Answer 9

would that be about right?

Answer 10

i think so but i need the coordinates

Answer 11

would it be fair to say the point P is at a ratio of 2:1 from G to H?

Answer 12

if from say G to P, is 2/3 of the whole line

and from P to H is 1/3 only of the whole line

then the distance GP will be at a ratio of 2:1, that is, twice as much as the distance PH

.... is that fair to say?

Answer 13

well its asking 2/3 of the distance from G to P so the point would lie on line GP

Answer 14

@mathslover

Answer 15

@vishweshshrimali5

Answer 16

@mathmate

Answer 17

Hi @kd7023s5

Answer 18

hello..

Answer 19

Okay lets see what do we have .....

okay lets assume the required point be P (x,y). Okay ?

Answer 20

ok

Answer 21

wait.. i think it was a mistake on my part because @jdoe0001 was right but i just needed the coordinates of point p

Answer 22

sorry...

Answer 23

its ok

Answer 24

Answer me this would this point P necessarily lie on line GP ?

Answer 25

yeah

Answer 26

No, its not necessary.

See:



(the circle is drawn in such a way that its centre is H and HP is its radius).

Answer 27

it doesnt look like h is the center..

Answer 28

my answer was (-0.33, 1.67)

Answer 29

@kd7023s5 please forget my replies. I took the question to a little higher level than required. It would be best if @jdoe0001 helped you out. Sorry

Answer 30

Its just that if you would follow my solution you will get infinitely many such points P.

Answer 31

youre right but the question is asking for a point on the line

Answer 32

and its ok, i was right

Answer 33

Yeah I have verified it. Good work

Answer 34

Did we arrive at the answer?

Answer 35

yeah

Answer 36

okay