Problem 2020. Area of an Isoceles Triangle

Created by Tanya Morton

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.JPEG"}],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>An isosceles triangle has equal sides of length x and a base of length y. 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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"}]}

Solve

Solution Stats

5806 Solutions
2959 Solvers

Last Solution submitted on Aug 05, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Ziad Abuissa on 4 Dec 2017

Great Problem

Kristóf Nagy on 6 Feb 2019

Solution Comments

Solution 5676075

1 Comment

1 Comment

john perkins on 4 May 2021

nice

Solution 2918509

1 Comment

1 Comment

arsenic 陈 on 8 May 2021

why are you so diao?

Solution 2673695

1 Comment

1 Comment

Umur Ulas Harman on 9 Jul 2020

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

Solution 1162255

1 Comment

1 Comment

Xusheng Huang on 13 Apr 2017

It takes me three times......

Solution 1027502

2 Comments

2 Comments

Dallin Romney on 22 Oct 2016

Use Pythagoreans theorem

Monica S on 22 Apr 2021

I don't understand assert part in the test code... tolerance value will always be less than the area if I am right... so how..? I am lost... anyone can clarify this for me..
Thank you!

Problem Recent Solvers2959

Problem Tags

basic matlab pythagoras

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 2020. Area of an Isoceles Triangle

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers2959

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Problem 2020. Area of an Isoceles Triangle

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers2959

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Players