https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932534#M210464 <P>Hi</P> <P>See Enclosed</P> Mon, 26 Feb 2024 14:11:22 GMT terryhendicott 2024-02-26T14:11:22Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932495#M210457 <P><SPAN>Not a question of mathcad but Mathcad can solve this.</SPAN></P> <P><STRONG>Find the Length DE. </STRONG></P> <P>ABCD is rectangular. 5 areas are same sizes. AB=13 cm.</P> <P>&nbsp;</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="ttokoro_6-1708949375898.png" style="width: 400px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/98900iD5143FD492FC9ABB/image-size/medium?v=v2&amp;px=400" role="button" title="ttokoro_6-1708949375898.png" alt="ttokoro_6-1708949375898.png" /></span></P> <P>&nbsp;</P> Mon, 26 Feb 2024 12:12:58 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932495#M210457 ttokoro 2024-02-26T12:12:58Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932521#M210461 <P>Its not difficult to get DE=6, but Mathcad or Prime were of no help here (or rather: weren't needed).</P> Mon, 26 Feb 2024 13:52:05 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932521#M210461 Werner_E 2024-02-26T13:52:05Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932534#M210464 <P>Hi</P> <P>See Enclosed</P> Mon, 26 Feb 2024 14:11:22 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932534#M210464 terryhendicott 2024-02-26T14:11:22Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932549#M210468 <P>To be on the safe side we would need a symbolical solution, but trying to evaluate&nbsp; the solve block symbolically fails.</P> <P>Reason is that yD actually is irrelevant and yD could be set to any constant value and need not to be solved for.</P> <P>So when we solve for four unknowns, we also only need four equations - one of the area equations is redundant anyway - if four of the five trinagles have an area of 1/5 of the total area, I would be surprised if the fifth triangle would have another area. <BR />Now symbolical evaluation works OK</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Werner_E_1-1708959439581.png" style="width: 588px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/98914iCD78B2F690F48697/image-dimensions/588x375?v=v2" width="588" height="375" role="button" title="Werner_E_1-1708959439581.png" alt="Werner_E_1-1708959439581.png" /></span></P> <P>&nbsp;</P> <P>&nbsp;</P> Mon, 26 Feb 2024 14:57:39 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/932549#M210468 Werner_E 2024-02-26T14:57:39Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934082#M210551 <P>Attached. prime 4 express</P> Sat, 02 Mar 2024 08:06:01 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934082#M210551 Fred_Kohlhepp 2024-03-02T08:06:01Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934092#M210555 <P>Hights of triangle DEG and ECH are not same but areas are same.</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 658px;"><img src="https://www.ptcusercommunity.com/t5/image/serverpage/image-id/99378i32F36B7E0C85D9D8/image-size/large?v=v2&amp;px=999" role="button" title="image.png" alt="image.png" /></span></P> Sat, 02 Mar 2024 10:38:22 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934092#M210555 ttokoro 2024-03-02T10:38:22Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934098#M210557 <P>Sorry, can't follow your logic <span class="lia-unicode-emoji" title=":disappointed_face:">😞</span></P> <P>Actually DE=6 cm, not 6.5 cm. E is not halving DC.</P> Sat, 02 Mar 2024 10:49:01 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934098#M210557 Werner_E 2024-03-02T10:49:01Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934122#M210566 <P>I stand corrected.&nbsp; Trying to explain my logic revealed my error.</P> Sat, 02 Mar 2024 13:22:28 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934122#M210566 Fred_Kohlhepp 2024-03-02T13:22:28Z https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934127#M210570 <BLOCKQUOTE><HR />Trying to explain my logic revealed my error.<HR /></BLOCKQUOTE> <P>I know exactly what you are talking about -&nbsp; I know that situation all too well myself! <span class="lia-unicode-emoji" title=":winking_face:">😉</span></P> Sat, 02 Mar 2024 14:11:56 GMT https://www.ptcusercommunity.com/t5/Mathcad/Puzzle-35-Find-the-Length-DE-ABCD-is-rectangular-5-areas-are/m-p/934127#M210570 Werner_E 2024-03-02T14:11:56Z