Problem 53755. Easy Sequence 61: Wide Pythagorean Triangles

Created by Ramon Villamangca

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>An integer-sided right triangle with sides </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>[a,b,c]</w:t></w:r></w:customXml><w:r><w:t>, is called a \"wide Pythagorean triangle\", if </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>b \\ge a+2</w:t></w:r></w:customXml><w:r><w:t>, and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>c \\ge b+2</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Write a program that counts all wide Pythagorean triangles whose no sides greater than a given limit </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>s</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Below is the list of all Pythagorean triangles with all sides </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\le 100</w:t></w:r></w:customXml><w:r><w:t>:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>    </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>\\{ \\ [6,8,10],\\ [9,12,15],\\ [8,15,17],\\ [12,16,20],\\ [15,20,25],\\ [10,24,26],\\ [18,24,30],\\ [16,30,34],\\ [21,28,35],\\ \\\\\n\\ \\ [12,35,37],\\ [15,36,39],\\ [24,32,40],\\ [27,36,45],\\ [30,40,50],\\ [14,48,50],\\ [24,45,51],\\ [20,48,52],\\ [28,45,53],\\ \\\\\n\\ \\ [33,44,55],\\ [40,42,58],\\ [36,48,60],\\ [39,52,65],\\ [25,60,65],\\ [16,63,65],\\ [33,56,65],\\ [32,60,68],\\ [42,56,70],\\ \\\\\n\\ \\ [48,55,73],\\ [24,70,74],\\ [45,60,75],\\ [21,72,75],\\ [30,72,78],\\ [48,64,80],\\ [18,80,82],\\ [51,68,85],\\ [40,75,85],\\ \\\\\n\\ \\ [36,77,85],\\ [60,63,87],\\ [39,80,89],\\ [54,72,90],\\ [35,84,91],\\ [57,76,95],\\ [62,72,97],\\ [60,80,100],\\ [28,96,100]\\ \\}\n</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Therefore, for </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>s=100</w:t></w:r></w:customXml><w:r><w:t>, your program output should be </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>45\n</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 222.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 111.25px; transform-origin: 407px 111.25px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 128px 8px; transform-origin: 128px 8px; unicode-bidi: normal; "><span style="">An integer-sided right triangle with sides </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 47.5px; height: 18.5px;" width="47.5" height="18.5"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 134px 8px; transform-origin: 134px 8px; unicode-bidi: normal; "><span style="">, is called a "wide Pythagorean triangle", if </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 61px; height: 18px;" width="61" height="18"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; "><span style="">, and </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 60px; height: 18px;" width="60" height="18"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="">. </span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 354px 8px; transform-origin: 354px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">Write a program that counts all wide Pythagorean triangles whose no sides greater than a given limit </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">s</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 180px 8px; transform-origin: 180px 8px; unicode-bidi: normal; "><span style="">Below is the list of all Pythagorean triangles with all sides </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 40px; height: 18px;" width="40" height="18"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style="">:</span></span></div><div style="block-size: 102.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 51.25px; text-align: left; transform-origin: 384px 51.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8px 8px; transform-origin: 8px 8px; unicode-bidi: normal; "><span style="">    </span></span><span style="vertical-align:-45px"><img 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" style="width: 745px; height: 102.5px;" width="745" height="102.5"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46px 8px; transform-origin: 46px 8px; unicode-bidi: normal; "><span style="">Therefore, for </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 50px; height: 18px;" width="50" height="18"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103.5px 8px; transform-origin: 103.5px 8px; unicode-bidi: normal; "><span style="">, your program output should be </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 18px; height: 18px;" width="18" height="18"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="">. </span></span></div></div></div>

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Problem 53755. Easy Sequence 61: Wide Pythagorean Triangles

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Problem 53755. Easy Sequence 61: Wide Pythagorean Triangles

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