Mixing
How to calculate the co-ordinates of a quadrilateral knowing the side lengths
$begingroup$
Hi I've come across a mathematical problem, which I can't seem to solve with my limited geometry and trigonometry knowledge.
I need to draw a quadrilateral (may not be rectangle always). To draw this quadrilateral, I need to know the coordinate points of each corner. All I know is the length of all four sides and co-ordinates for top side (100,0) and (600,0).
There is no guarantee on the orientation of the box. At any given point of time only one side can be a straight (0 degrees) or perpendicular (90 degrees) side. So the sides are not 90 degrees to each other.
Any help? This seems like it should be easy, but it is really stumping me.
analytic-geometry coordinate-systems quadrilateral
asked Jan 21 at 2:02
SriksSriks
1012
$endgroup$
add a comment |
$begingroup$
Hi I've come across a mathematical problem, which I can't seem to solve with my limited geometry and trigonometry knowledge.
I need to draw a quadrilateral (may not be rectangle always). To draw this quadrilateral, I need to know the coordinate points of each corner. All I know is the length of all four sides and co-ordinates for top side (100,0) and (600,0).
There is no guarantee on the orientation of the box. At any given point of time only one side can be a straight (0 degrees) or perpendicular (90 degrees) side. So the sides are not 90 degrees to each other.
Any help? This seems like it should be easy, but it is really stumping me.
analytic-geometry coordinate-systems quadrilateral
asked Jan 21 at 2:02
SriksSriks
1012
$endgroup$
$begingroup$
Do you at least know that the quad is convex? Otherwise there can be several differently-shaped ones with the same of side lengths.
$endgroup$
– amd
Jan 21 at 4:42
add a comment |
$begingroup$
Hi I've come across a mathematical problem, which I can't seem to solve with my limited geometry and trigonometry knowledge.
I need to draw a quadrilateral (may not be rectangle always). To draw this quadrilateral, I need to know the coordinate points of each corner. All I know is the length of all four sides and co-ordinates for top side (100,0) and (600,0).
There is no guarantee on the orientation of the box. At any given point of time only one side can be a straight (0 degrees) or perpendicular (90 degrees) side. So the sides are not 90 degrees to each other.
Any help? This seems like it should be easy, but it is really stumping me.
analytic-geometry coordinate-systems quadrilateral
asked Jan 21 at 2:02
SriksSriks
1012
$endgroup$
Hi I've come across a mathematical problem, which I can't seem to solve with my limited geometry and trigonometry knowledge.
I need to draw a quadrilateral (may not be rectangle always). To draw this quadrilateral, I need to know the coordinate points of each corner. All I know is the length of all four sides and co-ordinates for top side (100,0) and (600,0).
There is no guarantee on the orientation of the box. At any given point of time only one side can be a straight (0 degrees) or perpendicular (90 degrees) side. So the sides are not 90 degrees to each other.
Any help? This seems like it should be easy, but it is really stumping me.
analytic-geometry coordinate-systems quadrilateral
analytic-geometry coordinate-systems quadrilateral
asked Jan 21 at 2:02
SriksSriks
1012
asked Jan 21 at 2:02
SriksSriks
1012
edited Jan 21 at 3:32
Sriks
asked Jan 21 at 2:02
SriksSriks
1012
asked Jan 21 at 2:02
SriksSriks
1012
asked Jan 21 at 2:02
SriksSriks
1012
1012
$begingroup$
Do you at least know that the quad is convex? Otherwise there can be several differently-shaped ones with the same of side lengths.
$endgroup$
– amd
Jan 21 at 4:42
add a comment |
$begingroup$
Do you at least know that the quad is convex? Otherwise there can be several differently-shaped ones with the same of side lengths.
$endgroup$
– amd
Jan 21 at 4:42
$begingroup$
Do you at least know that the quad is convex? Otherwise there can be several differently-shaped ones with the same of side lengths.
$endgroup$
– amd
Jan 21 at 4:42
$begingroup$
Do you at least know that the quad is convex? Otherwise there can be several differently-shaped ones with the same of side lengths.
$endgroup$
– amd
Jan 21 at 4:42
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
It appears that is one such quadrilateral in the first quadrant and another in the third. I scaled the sides to $10,12,6,13$.
answered Jan 21 at 4:04
QuasarQuasar
848416
$endgroup$
$begingroup$
Thanks Quasar for your comment. Is there any way to achieve this without drawing circles? Because I need to get these co-ordinates Programmatically (in HTML5) to plot the quadrilateral.
$endgroup$
– Sriks
Jan 21 at 21:05
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3081407%2fhow-to-calculate-the-co-ordinates-of-a-quadrilateral-knowing-the-side-lengths%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
It appears that is one such quadrilateral in the first quadrant and another in the third. I scaled the sides to $10,12,6,13$.
answered Jan 21 at 4:04
QuasarQuasar
848416
$endgroup$
$begingroup$
Thanks Quasar for your comment. Is there any way to achieve this without drawing circles? Because I need to get these co-ordinates Programmatically (in HTML5) to plot the quadrilateral.
$endgroup$
– Sriks
Jan 21 at 21:05
add a comment |
$begingroup$
It appears that is one such quadrilateral in the first quadrant and another in the third. I scaled the sides to $10,12,6,13$.
answered Jan 21 at 4:04
QuasarQuasar
848416
$endgroup$
$begingroup$
Thanks Quasar for your comment. Is there any way to achieve this without drawing circles? Because I need to get these co-ordinates Programmatically (in HTML5) to plot the quadrilateral.
$endgroup$
– Sriks
Jan 21 at 21:05
add a comment |
$begingroup$
It appears that is one such quadrilateral in the first quadrant and another in the third. I scaled the sides to $10,12,6,13$.
answered Jan 21 at 4:04
QuasarQuasar
848416
$endgroup$
It appears that is one such quadrilateral in the first quadrant and another in the third. I scaled the sides to $10,12,6,13$.
answered Jan 21 at 4:04
QuasarQuasar
848416
answered Jan 21 at 4:04
QuasarQuasar
848416
answered Jan 21 at 4:04
QuasarQuasar
848416
answered Jan 21 at 4:04
QuasarQuasar
848416
848416
$begingroup$
Thanks Quasar for your comment. Is there any way to achieve this without drawing circles? Because I need to get these co-ordinates Programmatically (in HTML5) to plot the quadrilateral.
$endgroup$
– Sriks
Jan 21 at 21:05
add a comment |
$begingroup$
Thanks Quasar for your comment. Is there any way to achieve this without drawing circles? Because I need to get these co-ordinates Programmatically (in HTML5) to plot the quadrilateral.
$endgroup$
– Sriks
Jan 21 at 21:05
$begingroup$
Thanks Quasar for your comment. Is there any way to achieve this without drawing circles? Because I need to get these co-ordinates Programmatically (in HTML5) to plot the quadrilateral.
$endgroup$
– Sriks
Jan 21 at 21:05
$begingroup$
Thanks Quasar for your comment. Is there any way to achieve this without drawing circles? Because I need to get these co-ordinates Programmatically (in HTML5) to plot the quadrilateral.
$endgroup$
– Sriks
Jan 21 at 21:05
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3081407%2fhow-to-calculate-the-co-ordinates-of-a-quadrilateral-knowing-the-side-lengths%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
Do you at least know that the quad is convex? Otherwise there can be several differently-shaped ones with the same of side lengths.
$endgroup$
– amd
Jan 21 at 4:42