Find the formula of the co-ordinates of the (possible) third vertex of an equilateral triangle whose another two vertex is given. [closed]

Clash Royale CLAN TAG#URR8PPP

up vote
0
down vote

favorite

1

I have elementary knowledge on co-ordinate geometry (High School).

coordinate-systems

share|cite|improve this question

edited Aug 1 at 6:26

asked Jul 31 at 7:22

MD SHAHED HUSSAIN

11

closed as off-topic by Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici Jul 31 at 9:53

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  For any pair of distinct points in the plane, there are exactly two distinct equilateral triangles with those two points as vertices.
  – Saucy O'Path
  Jul 31 at 7:31
  
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

1

I have elementary knowledge on co-ordinate geometry (High School).

coordinate-systems

share|cite|improve this question

edited Aug 1 at 6:26

asked Jul 31 at 7:22

MD SHAHED HUSSAIN

11

closed as off-topic by Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici Jul 31 at 9:53

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  For any pair of distinct points in the plane, there are exactly two distinct equilateral triangles with those two points as vertices.
  – Saucy O'Path
  Jul 31 at 7:31
  
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

1

up vote
0
down vote

favorite

1

1

I have elementary knowledge on co-ordinate geometry (High School).

coordinate-systems

share|cite|improve this question

edited Aug 1 at 6:26

asked Jul 31 at 7:22

MD SHAHED HUSSAIN

11

I have elementary knowledge on co-ordinate geometry (High School).

coordinate-systems

share|cite|improve this question

edited Aug 1 at 6:26

asked Jul 31 at 7:22

MD SHAHED HUSSAIN

11

share|cite|improve this question

share|cite|improve this question

edited Aug 1 at 6:26

edited Aug 1 at 6:26

edited Aug 1 at 6:26

asked Jul 31 at 7:22

MD SHAHED HUSSAIN

11

asked Jul 31 at 7:22

MD SHAHED HUSSAIN

11

asked Jul 31 at 7:22

MD SHAHED HUSSAIN

11

11

closed as off-topic by Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici Jul 31 at 9:53

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici

If this question can be reworded to fit the rules in the help center, please edit the question.

closed as off-topic by Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici Jul 31 at 9:53

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Siong Thye Goh, José Carlos Santos, John Ma, Shailesh, Claude Leibovici

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  For any pair of distinct points in the plane, there are exactly two distinct equilateral triangles with those two points as vertices.
  – Saucy O'Path
  Jul 31 at 7:31
  
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  For any pair of distinct points in the plane, there are exactly two distinct equilateral triangles with those two points as vertices.
  – Saucy O'Path
  Jul 31 at 7:31
  
  

  
  
  
  

For any pair of distinct points in the plane, there are exactly two distinct equilateral triangles with those two points as vertices.
– Saucy O'Path
Jul 31 at 7:31

For any pair of distinct points in the plane, there are exactly two distinct equilateral triangles with those two points as vertices.
– Saucy O'Path
Jul 31 at 7:31

add a comment | 

1 Answer
1

active

oldest

votes

up vote
0
down vote

Find the distance between the two given points, $D$.

Let (x,y) be the third vertex.

Write the distance formula between $(x,y)$ and each of your given points and make it equal $D$

Solve these two equations for $x$ and $y$

share|cite|improve this answer

edited Jul 31 at 10:43

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

add a comment | 

1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
0
down vote

Find the distance between the two given points, $D$.

Let (x,y) be the third vertex.

Write the distance formula between $(x,y)$ and each of your given points and make it equal $D$

Solve these two equations for $x$ and $y$

share|cite|improve this answer

edited Jul 31 at 10:43

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

add a comment | 

up vote
0
down vote

Find the distance between the two given points, $D$.

Let (x,y) be the third vertex.

Write the distance formula between $(x,y)$ and each of your given points and make it equal $D$

Solve these two equations for $x$ and $y$

share|cite|improve this answer

edited Jul 31 at 10:43

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

add a comment | 

up vote
0
down vote

up vote
0
down vote

Find the distance between the two given points, $D$.

Let (x,y) be the third vertex.

Write the distance formula between $(x,y)$ and each of your given points and make it equal $D$

Solve these two equations for $x$ and $y$

share|cite|improve this answer

edited Jul 31 at 10:43

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

Find the distance between the two given points, $D$.

Let (x,y) be the third vertex.

Write the distance formula between $(x,y)$ and each of your given points and make it equal $D$

Solve these two equations for $x$ and $y$

share|cite|improve this answer

edited Jul 31 at 10:43

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

share|cite|improve this answer

share|cite|improve this answer

edited Jul 31 at 10:43

edited Jul 31 at 10:43

edited Jul 31 at 10:43

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

answered Jul 31 at 7:32

Mohammad Riazi-Kermani

27.3k41851

27.3k41851

add a comment | 

add a comment |