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  1. #1
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    Question Fun with Triangles - SAS

    The next Triangle challenge extends the https://www.talkgraphics.com/showthr...Triangles-S90S one.

    Take the same Triangle (B318px/H412px) [S90S].

    Now instead of the two lengths being at an angle of 90°, I want the simplest means to change this interior angle to one of 142° [S142S]
    If you are keen, produce a second triangle with an interior angle of 17° as well. [S17S]

    Attachment 122724

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    Click image for larger version. 

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    Acorn
    Acorn - installed Xara software: Cloud+/Pro+ and most others back through time (to CC's Artworks). Contact for technical remediation/consultancy for your web designs.
    When we provide assistance, your responses are valuable as they benefit the community. TG Nuggets you might like. Report faults: Xara Cloud+/Pro+/Magix Legacy; Xara KB & Chat

  2. #2
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    Default Re: Fun with Triangles - SAS

    This one is harder to describe but easy to do.

    It does require visualisation and some simple arithmetic.

    Here is an aid that I use:

    Click image for larger version. 

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    Acorn
    Acorn - installed Xara software: Cloud+/Pro+ and most others back through time (to CC's Artworks). Contact for technical remediation/consultancy for your web designs.
    When we provide assistance, your responses are valuable as they benefit the community. TG Nuggets you might like. Report faults: Xara Cloud+/Pro+/Magix Legacy; Xara KB & Chat

  3. #3
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    Default Re: Fun with Triangles - SAS

    Sorry Acorn I do not understand either your aid post #2 nor post #1 could you elaborate a little please.
    Larry a.k.a wizard509

    Never give up. You will never fail, but you may find a lot of ways that don't work.

  4. #4
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    Default Re: Fun with Triangles - SAS

    Quote Originally Posted by wizard509 View Post
    Sorry Acorn I do not understand either your aid post #2 nor post #1 could you elaborate a little please.
    Larry, here is another view of what I want the Challenge to solve:

    Click image for larger version. 

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    The Red triangle is S90S from before; two known side lengths (the base and the height) with 90° between them.
    The green triangle has the same short sides, the base is obviously the same length and the edge with the blue check marks is asserted to be the same length. The Green triangle's hypotenuse, the longer third side, necessarily has to change when the 90
    ° is increased to 142°.

    The Challenge was simply how to do this accurately and simply using a Xara function.

    The clue is how the Shape tool presents the angle of any node, where 0
    ° always points horizontally left.
    The direction of increase is clockwise and above
    180°, the sign flips so the value decreases back to 0°.

    The original Blue triangle is the additional Challenge where the angle subtended is decreased from 90
    ° to 17°.

    Acorn
    Acorn - installed Xara software: Cloud+/Pro+ and most others back through time (to CC's Artworks). Contact for technical remediation/consultancy for your web designs.
    When we provide assistance, your responses are valuable as they benefit the community. TG Nuggets you might like. Report faults: Xara Cloud+/Pro+/Magix Legacy; Xara KB & Chat

  5. #5
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    Default Re: Fun with Triangles - SAS

    This is my approach to the problem...

    Click image for larger version. 

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    I almost forgot to mention that the angle of the nodes is (-180 -the amount chosen).

  6. #6
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    Default Re: Fun with Triangles - SAS

    Quote Originally Posted by Marco D View Post
    This is my approach...

    Click image for larger version. 

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    Marco, a good answer.

    How do you measure the angle? [Your Edit covers my question]

    Have a think about not using the circle at all.

    Acorn
    Acorn - installed Xara software: Cloud+/Pro+ and most others back through time (to CC's Artworks). Contact for technical remediation/consultancy for your web designs.
    When we provide assistance, your responses are valuable as they benefit the community. TG Nuggets you might like. Report faults: Xara Cloud+/Pro+/Magix Legacy; Xara KB & Chat

  7. #7
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    Default Re: Fun with Triangles - SAS

    I've edited my previous post with the answer... -180 minus the angle chosen.

  8. #8
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    Default Re: Fun with Triangles - SAS

    Quote Originally Posted by Marco D View Post
    I've edited my previous post with the answer... -180 minus the angle chosen.
    As did I.
    Nice cross-posting,
    Acorn
    Acorn - installed Xara software: Cloud+/Pro+ and most others back through time (to CC's Artworks). Contact for technical remediation/consultancy for your web designs.
    When we provide assistance, your responses are valuable as they benefit the community. TG Nuggets you might like. Report faults: Xara Cloud+/Pro+/Magix Legacy; Xara KB & Chat

  9. #9
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    Default Re: Fun with Triangles - SAS

    Another solution could be this...

    Click image for larger version. 

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    this way you don't need to do the math.

  10. #10
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    Default Re: Fun with Triangles - SAS

    Quote Originally Posted by Marco D View Post
    Another solution could be this...

    Click image for larger version. 

Name:	triangle_ch_02.png 
Views:	122 
Size:	36.4 KB 
ID:	122757

    this way you don't need to do the math.
    Marco, I agree this is a neat solution.

    There are a couple of implicit steps you need to tease out.

    I would co-locate the left nodes of each line with both kept horizontal.
    Then set the rotation point to the left end of the line and finally rotate it to the required angle.

    Joining lines can be tricky.

    Select both and switch to the Shape tool.
    Click and drag one of the left nodes away and back again and release.
    Finally, press the Tab key to reach an end of either line and press the Enter key.

    It might not be that easy to get the second triangle of this Challenge from this position.

    Acorn
    Acorn - installed Xara software: Cloud+/Pro+ and most others back through time (to CC's Artworks). Contact for technical remediation/consultancy for your web designs.
    When we provide assistance, your responses are valuable as they benefit the community. TG Nuggets you might like. Report faults: Xara Cloud+/Pro+/Magix Legacy; Xara KB & Chat

 

 

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