Finding coordinate points of corners of a triangle [closed]

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Assuming one of the corners is at (0,0), and you know the lengths of all sides, is it possible to find the coordinate points of the other two corners? I can find the values of each angle using the Law of Cosines, however I can't figure out what to do from there.

For example, in this picture how would I find the locations of B and C?

trigonometry triangle coordinate-systems

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asked Jul 25 at 16:22

Ulxlx

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closed as off-topic by amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel Jul 26 at 1:11

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 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." – amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel

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

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Assuming one of the corners is at (0,0), and you know the lengths of all sides, is it possible to find the coordinate points of the other two corners? I can find the values of each angle using the Law of Cosines, however I can't figure out what to do from there.

For example, in this picture how would I find the locations of B and C?

trigonometry triangle coordinate-systems

share|cite|improve this question

asked Jul 25 at 16:22

Ulxlx

1083

closed as off-topic by amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel Jul 26 at 1:11

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 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." – amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel

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

add a comment | 

up vote
1
down vote

favorite

1

up vote
1
down vote

favorite

1

1

Assuming one of the corners is at (0,0), and you know the lengths of all sides, is it possible to find the coordinate points of the other two corners? I can find the values of each angle using the Law of Cosines, however I can't figure out what to do from there.

For example, in this picture how would I find the locations of B and C?

trigonometry triangle coordinate-systems

share|cite|improve this question

asked Jul 25 at 16:22

Ulxlx

1083

Assuming one of the corners is at (0,0), and you know the lengths of all sides, is it possible to find the coordinate points of the other two corners? I can find the values of each angle using the Law of Cosines, however I can't figure out what to do from there.

For example, in this picture how would I find the locations of B and C?

trigonometry triangle coordinate-systems

share|cite|improve this question

asked Jul 25 at 16:22

Ulxlx

1083

share|cite|improve this question

share|cite|improve this question

asked Jul 25 at 16:22

Ulxlx

1083

asked Jul 25 at 16:22

Ulxlx

1083

asked Jul 25 at 16:22

Ulxlx

1083

1083

closed as off-topic by amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel Jul 26 at 1:11

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 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." – amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel

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

closed as off-topic by amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel Jul 26 at 1:11

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 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." – amWhy, José Carlos Santos, max_zorn, Adrian Keister, Parcly Taxel

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

add a comment | 

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1 Answer
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It is still not possible to find the other two corners if no additional information is given. Any congruent triangle (rotations + reflections) with $A$ at the the specified point will satisfy your restrictions, no problem.

However, the coordinates can be determined uniquely with two additional constraints, such as the signed angles of $AB$ and $AC$ relative to the $x$-axis.

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answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
2
down vote



accepted

It is still not possible to find the other two corners if no additional information is given. Any congruent triangle (rotations + reflections) with $A$ at the the specified point will satisfy your restrictions, no problem.

However, the coordinates can be determined uniquely with two additional constraints, such as the signed angles of $AB$ and $AC$ relative to the $x$-axis.

share|cite|improve this answer

answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

add a comment | 

up vote
2
down vote



accepted

It is still not possible to find the other two corners if no additional information is given. Any congruent triangle (rotations + reflections) with $A$ at the the specified point will satisfy your restrictions, no problem.

However, the coordinates can be determined uniquely with two additional constraints, such as the signed angles of $AB$ and $AC$ relative to the $x$-axis.

share|cite|improve this answer

answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

add a comment | 

up vote
2
down vote



accepted

up vote
2
down vote



accepted

It is still not possible to find the other two corners if no additional information is given. Any congruent triangle (rotations + reflections) with $A$ at the the specified point will satisfy your restrictions, no problem.

However, the coordinates can be determined uniquely with two additional constraints, such as the signed angles of $AB$ and $AC$ relative to the $x$-axis.

share|cite|improve this answer

answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

It is still not possible to find the other two corners if no additional information is given. Any congruent triangle (rotations + reflections) with $A$ at the the specified point will satisfy your restrictions, no problem.

However, the coordinates can be determined uniquely with two additional constraints, such as the signed angles of $AB$ and $AC$ relative to the $x$-axis.

share|cite|improve this answer

answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

share|cite|improve this answer

share|cite|improve this answer

answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

answered Jul 25 at 16:32

Parcly Taxel

33.5k136588

33.5k136588

add a comment | 

add a comment |