Problem 2020. Area of an Isoceles Triangle

Created by Tanya Morton

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Find the area, A, of the triangle.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Image courtesy of</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://upload.wikimedia.org/wikipedia/commons/8/8e/Triangle_isocele.svg\"><w:r><w:t>Wikipedia</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"},{"partUri":"/media/image1.JPEG","contentType":"image/JPEG","content":"data:image/JPEG;base64,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"}]}

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Last Solution submitted on Aug 05, 2020

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Ziad Abuissa on 4 Dec 2017

Great Problem

Kristóf Nagy on 6 Feb 2019

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Solution 2673695

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1 Comment

Umur Ulas Harman on 9 Jul 2020 at 21:39

function A = isocelesArea(x,y)
u=(2*x+y)/2;
A = sqrt(u*(u-x)^2*(u-y));
end

Solution 1162255

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1 Comment

Xusheng Huang on 13 Apr 2017

It takes me three times......

Solution 1027502

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1 Comment

Dallin Romney on 22 Oct 2016

Use Pythagoreans theorem

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Problem 2020. Area of an Isoceles Triangle

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Problem 2020. Area of an Isoceles Triangle

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