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Can anyone help me to find what is the similarity between these two triangles Just check the picture)? [on hold]

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Can anybody show me how does the red triangle (bigger triangle) is similar to the green triangle (smaller triangle). I need to know how they are similar so that I can do a proportional between them.

geometry triangle congruences-geometry

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edited Mar 12 at 14:07

Anirban Niloy

8291218

asked Mar 12 at 10:18

Nelson AbalosNelson Abalos

41

New contributor

Nelson Abalos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

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put on hold as off-topic by Saad, abc..., Song, Antinous, user1729 Mar 12 at 15:11

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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, abc..., Song, Antinous, user1729

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

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  What have you tried?
  $endgroup$
  – Chrystomath
  Mar 12 at 10:27
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Is the red triangle regular?
  $endgroup$
  – Magma
  Mar 12 at 10:56
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The red triangle is a equilateral triangle.
  $endgroup$
  – Nelson Abalos
  Mar 12 at 10:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I think it's an AAA Similarity Theorem but i dont know where to start.
  $endgroup$
  – Nelson Abalos
  Mar 12 at 10:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer. For equations, please use MathJax.
  $endgroup$
  – dantopa
  Mar 12 at 15:10
  

  
  
  
  

add a comment | 

0

$begingroup$

Can anybody show me how does the red triangle (bigger triangle) is similar to the green triangle (smaller triangle). I need to know how they are similar so that I can do a proportional between them.

geometry triangle congruences-geometry

share|cite|improve this question

edited Mar 12 at 14:07

Anirban Niloy

8291218

asked Mar 12 at 10:18

Nelson AbalosNelson Abalos

41

New contributor

Nelson Abalos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

put on hold as off-topic by Saad, abc..., Song, Antinous, user1729 Mar 12 at 15:11

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 provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, abc..., Song, Antinous, user1729

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

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  What have you tried?
  $endgroup$
  – Chrystomath
  Mar 12 at 10:27
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Is the red triangle regular?
  $endgroup$
  – Magma
  Mar 12 at 10:56
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The red triangle is a equilateral triangle.
  $endgroup$
  – Nelson Abalos
  Mar 12 at 10:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I think it's an AAA Similarity Theorem but i dont know where to start.
  $endgroup$
  – Nelson Abalos
  Mar 12 at 10:59
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer. For equations, please use MathJax.
  $endgroup$
  – dantopa
  Mar 12 at 15:10
  

  
  
  
  

add a comment | 

$begingroup$

Can anybody show me how does the red triangle (bigger triangle) is similar to the green triangle (smaller triangle). I need to know how they are similar so that I can do a proportional between them.

geometry triangle congruences-geometry

share|cite|improve this question

edited Mar 12 at 14:07

Anirban Niloy

8291218

asked Mar 12 at 10:18

Nelson AbalosNelson Abalos

41

New contributor

Nelson Abalos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

edited Mar 12 at 14:07

Anirban Niloy

8291218

asked Mar 12 at 10:18

Nelson AbalosNelson Abalos

41

New contributor

Nelson Abalos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

edited Mar 12 at 14:07

Anirban Niloy

8291218

asked Mar 12 at 10:18

Nelson AbalosNelson Abalos

41

New contributor

Nelson Abalos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

edited Mar 12 at 14:07

Anirban Niloy

8291218

edited Mar 12 at 14:07

Anirban Niloy

8291218

asked Mar 12 at 10:18

Nelson AbalosNelson Abalos

41

New contributor

Nelson Abalos is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 12 at 10:18

Nelson AbalosNelson Abalos

41

1 Answer
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Hint: Prove that the line $JI$ is parallel to $BD,$ using the tangency of the circles at $I,$ and the tangency of the above lines respectively at $I$ and $D$ to the circles. (You may need to recall that radii of circles are perpendicular to tangents at the point of tangency).

I hope you then see that it immediately follows that both triangles are equiangular, and therefore similar.

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answered Mar 12 at 11:13

AllawonderAllawonder

2,107616

$endgroup$

add a comment | 

1

$begingroup$

Hint: Prove that the line $JI$ is parallel to $BD,$ using the tangency of the circles at $I,$ and the tangency of the above lines respectively at $I$ and $D$ to the circles. (You may need to recall that radii of circles are perpendicular to tangents at the point of tangency).

I hope you then see that it immediately follows that both triangles are equiangular, and therefore similar.

share|cite|improve this answer

answered Mar 12 at 11:13

AllawonderAllawonder

2,107616

$endgroup$

add a comment | 

1

$begingroup$

Hint: Prove that the line $JI$ is parallel to $BD,$ using the tangency of the circles at $I,$ and the tangency of the above lines respectively at $I$ and $D$ to the circles. (You may need to recall that radii of circles are perpendicular to tangents at the point of tangency).

I hope you then see that it immediately follows that both triangles are equiangular, and therefore similar.

share|cite|improve this answer

answered Mar 12 at 11:13

AllawonderAllawonder

2,107616

$endgroup$

add a comment | 

$begingroup$

Hint: Prove that the line $JI$ is parallel to $BD,$ using the tangency of the circles at $I,$ and the tangency of the above lines respectively at $I$ and $D$ to the circles. (You may need to recall that radii of circles are perpendicular to tangents at the point of tangency).

I hope you then see that it immediately follows that both triangles are equiangular, and therefore similar.

share|cite|improve this answer

answered Mar 12 at 11:13

AllawonderAllawonder

2,107616

$endgroup$

share|cite|improve this answer

answered Mar 12 at 11:13

AllawonderAllawonder

2,107616

answered Mar 12 at 11:13

AllawonderAllawonder

2,107616

answered Mar 12 at 11:13

AllawonderAllawonder

2,107616