Question

Please help. Im stuck on this bad.

Refer to the campground problem from Task 1 on p. 340 of Geometry. Recall that the campsites have the following coordinates: Brighton Bluff at B (2, 2), Ponaganset Peak at P (4, 10), and Harmony Hill at H (12, 2). What are the coordinates of the point where the showers should be placed in order to be equidistant from all three campsites?

Answer 1

@perl @AriPotta @adilalvi @AriPotta @Abhisar @Blu-Girl @BunnyBree @babygurl47672 @briensmarandache @bkonch @Cman456 @ciara9271 @Catlover5925 @CausticSyndicalist @DivergentMockingjay19 @dudezack @eliassaab @eighthourlunch

Can anyone help

Answer 2

let me see

Answer 3

I never grasped the orthocener, circumcenter, and that fun stuff.

Answer 4

I am really sorry but I can't help

Answer 5

@Ria23 @triciaal @tualatin_wolves01 @tayromo @tualatin_wolves01 @kmac416 @karimse07 @kitykat9 @KaiFifer @Write0The0Right0For0Wrong0Doing @walters @linn99123 @Librarian @lexycollins Anyone know this?

Answer 6

i sent you a message @Beleaguer

Answer 7

@ganeshie8 @goformit100 @gleem @Godlovesme @One098 @SolomonZelman @sourwing

Answer 8

i think this is the logic to follow

Answer 9

here ya go this is how i found it

Answer 10

Theres an equation that goes along with it. It has something to do with finding the slop of two points and I never understood it.

Answer 11

ok what is this assignment called i will try to google an equation for it

Answer 12

Inequalities of a triangle.. maybe. Try looking for sonething that has to do with concurrency of a triangle with points. Thats what im looking for

Answer 13

is this the equation??

Answer 14

Nope. At least im not the only one with trouble in this problem haha.

Answer 15

have you tried my solution?

Answer 16

Yea, but did you use an equation other than just plotting the points and finding the middle? That is what its asking me.

Answer 17

this is what i got, just needs to be simplified

Answer 18

@briensmarandache did it make sense what i did??

Answer 19

i wasnt sure what you were showing, i just expressed what i told her to do.

Answer 20

To check your answer, the shower should be at (7,5), the blue point in the attached graph

Answer 21

You really have to find the center of the circle passing by the three given points.

Answer 22

no, if you look at the attachment you will see mid point BHPH, that is the center

Answer 23

i have to leave for work if your still stuck ill be on around ten

Answer 24

Yes, if the points are
{{2, 2}, {4, 10}, {12, 2}}
then my answer is correct. See the picture

Answer 25

@briensmarandache , did you look at the attached circle?

Answer 26

well my answer is different so im not sure by my logic i feel as if im correct but i could be wrong

Answer 27

Let us find the center of the circle that goes to the points
{{2,2},{4,10},{12,2}}.
Let \[ (x-a)^2 + (y-b)^2 =c\]
where c is the square of the radius
We need 3 equations let us write them down
\[
(2-a)^2+(2-b)^2 =c\\
(4-a)^2+(10-b)^2=c\\
(12-a)^2+(2-b)^2=c
\]
Wolframalpha will solve them for us to get
http://www.wolframalpha.com/input/?i=solve%28+%282-a%29%5E2%2B%282-b%29%5E2+%3Dc%2C+%284-a%29%5E2%2B%2810-b%29%5E2%3Dc%2C+%2812-a%29%5E2%2B%282-b%29%5E2%3D+c+%29

a=7,b=5, c=34

Answer 28

Actually, you can see geometrically why a =7

Answer 29

Thanks for the answer! Your aweomse :) *throws medal*