topic Find the length AB. in Mathcad https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938861#M210846 <P>Elementary schoole children can solve this puzzle. If you need you can use Mathcad Prime.</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 970px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/100751i07E2347C1B91D779/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span></P> Thu, 24 Oct 2024 18:05:18 GMT ttokoro 2024-10-24T18:05:18Z Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938861#M210846 <P>Elementary schoole children can solve this puzzle. If you need you can use Mathcad Prime.</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 970px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/100751i07E2347C1B91D779/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span></P> Thu, 24 Oct 2024 18:05:18 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938861#M210846 ttokoro 2024-10-24T18:05:18Z Betreff: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938878#M210847 <P>There are two intermediate solutions. In the end AB=11 in any case <span class="lia-unicode-emoji" title=":winking_face:">😉</span></P> Sat, 23 Mar 2024 17:36:26 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938878#M210847 AlfredFlaßhaar 2024-03-23T17:36:26Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938885#M210850 <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Capture.jpg" style="width: 813px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/100756i9468F1F82EF96F86/image-size/large?v=v2&amp;px=999" role="button" title="Capture.jpg" alt="Capture.jpg" /></span></P> Sat, 23 Mar 2024 23:23:06 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938885#M210850 terryhendicott 2024-03-23T23:23:06Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938895#M210854 <P>If we use Mathcad it is easy to find the answer. But without sqrt or functions, this puzzle becomes very hard.&nbsp;</P> <P>&nbsp;</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 954px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/100760i105D1D10D0320E47/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 618px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/100761i901017B7F04B0B4C/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 282px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/100762i1E30EB4DC19F7140/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span></P> Sun, 24 Mar 2024 01:24:38 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938895#M210854 ttokoro 2024-03-24T01:24:38Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938900#M210856 <P>This task is not particularly difficult. Students should be able to solve it using the cosine law for side length and the sine formula for the area of a triangle. What is much more interesting about this problem is that solution "11" is possible in two different geometric situations.</P> Sun, 24 Mar 2024 05:58:16 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938900#M210856 AlfredFlaßhaar 2024-03-24T05:58:16Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938902#M210857 <P>Hi,</P> <P>Prime 9 Express version:</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Capture.JPG" style="width: 950px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/100765iFF7660AD1C816349/image-size/large?v=v2&amp;px=999" role="button" title="Capture.JPG" alt="Capture.JPG" /></span></P> <P>Cheers</P> <P>Terry</P> Sun, 24 Mar 2024 08:01:54 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938902#M210857 terryhendicott 2024-03-24T08:01:54Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938912#M210859 <P>The two solutions are AD=14.354..., BC=11.822... and AD=5.911..., BC=28.709...<BR />They are approximations for unpleasant radicals.</P> Sun, 24 Mar 2024 10:03:07 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938912#M210859 AlfredFlaßhaar 2024-03-24T10:03:07Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938913#M210860 <P>BTW.<BR />Numerical solutions attached. How do you solve the system symbolically? Need help.</P> Sun, 24 Mar 2024 10:42:00 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938913#M210860 AlfredFlaßhaar 2024-03-24T10:42:00Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938915#M210861 <P>Now it runs <span class="lia-unicode-emoji" title=":slightly_smiling_face:">🙂</span> .</P> Sun, 24 Mar 2024 14:18:17 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938915#M210861 AlfredFlaßhaar 2024-03-24T14:18:17Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938968#M210870 <P>Korrektur!</P> Mon, 25 Mar 2024 08:56:36 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/938968#M210870 AlfredFlaßhaar 2024-03-25T08:56:36Z Betreff: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/940619#M211018 <P>Additional task: <span class="lia-unicode-emoji" title=":winking_face:">😉</span></P><P>Given pieces and requirements as usual.</P><P>But:</P><P>Instead of the given area F=60, the distance AC must now be calculated so that the area of the triangle ABC is maximum. How big is the interior angle at C?</P> Mon, 01 Apr 2024 16:00:40 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/940619#M211018 AlfredFlaßhaar 2024-04-01T16:00:40Z Betreff: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/940781#M211042 <P>Correction:<BR />With the unusual names of the triangle vertices as shown in the sketch in the original problem, the distance AB is logically sought. I accidentally had the usual point designation in my head, where A and B limit the lower side of the triangle and C is the summit.</P> Tue, 02 Apr 2024 07:58:24 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/940781#M211042 AlfredFlaßhaar 2024-04-02T07:58:24Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/941784#M211105 <P>I would solve it that way:</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Werner_E_0-1712277132704.png" style="width: 545px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/101706iFA0A149AB7692E6D/image-dimensions/545x724?v=v2" width="545" height="724" role="button" title="Werner_E_0-1712277132704.png" alt="Werner_E_0-1712277132704.png" /></span></P> <P>&nbsp;</P> <P>Using Mathcads solving and plotting facilities it may look like this:</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Werner_E_0-1712278501328.png" style="width: 999px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/101707i6853777D68DA87BA/image-size/large?v=v2&amp;px=999" role="button" title="Werner_E_0-1712278501328.png" alt="Werner_E_0-1712278501328.png" /></span></P> <P>&nbsp;</P> <P>Mathcad 15 sheet attached</P> <P>&nbsp;</P> <P>&nbsp;</P> Fri, 05 Apr 2024 00:56:48 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/941784#M211105 Werner_E 2024-04-05T00:56:48Z Re: Find the length AB. https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/941909#M211110 <P>My answer is.</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 759px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/101751i0D45E0FF52EA1122/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span></P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 288px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/101752i991BD332CCA703BE/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span></P> Fri, 05 Apr 2024 11:55:52 GMT https://www.ptcusercommunity.com/t5/Mathcad/Find-the-length-AB/m-p/941909#M211110 ttokoro 2024-04-05T11:55:52Z