Problem 45379. 3rd side of a Triangle

Created by Asif Newaz

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"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:pPr><w:r><w:t>Given two sides of a triangle, find the minimum and maximum possible area of the triangle.</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>the length of the third side has to be of integer-valued.</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>"}]}

Solve

Solution Stats

57 Solutions
15 Solvers

Last Solution submitted on Aug 01, 2021

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

William on 24 Mar 2020

Asif,
The results in the test suite seem to be based on the idea that the minimum and maximum areas are found by setting the third side to a3 = abs(a1-a2)+1 and a3=a1+a2-1, which is not correct. The correct maximum is somewhere in the middle. For example, in problem 2, the correct results are mn = 24.9987 and mx = 1250.0000.

Asif Newaz on 24 Mar 2020

yes.. i see that now.. my assumption was wrong.
Sorry for the misconception.
yet again we learn from our mistakes

Rafael S.T. Vieira on 6 Aug 2020

Humm, I am certain that the minimum area of any triangle is zero, which corresponds to the degenerate case when one side is equal to the sum of the other two.

Solution Comments

Solution 2173085

2 Comments

2 Comments

David Hill on 24 Mar 2020

The maximum areas you report in the test cases are mostly wrong.

Asif Newaz on 24 Mar 2020

yes yes i see

Solution 2172848

1 Comment

1 Comment

Asif Newaz on 24 Mar 2020

thanks for pointing that out

Problem Recent Solvers15

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 45379. 3rd side of a Triangle

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers15

Suggested Problems

More from this Author149

Problem Tags

Community Treasure Hunt

Problem 45379. 3rd side of a Triangle

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers15

Suggested Problems

More from this Author149

Problem Tags

Community Treasure Hunt

Players