Problem 769. Calculate the area of a triangle between three points

Created by Reza Ahmadzadeh

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>Calculate the area of a triangle between three points:</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>P1(X1,Y1)</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>P2(X2,Y2)</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>P3(X3,Y3)</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>these three points are the vertices of the triangle.</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

1695 Solutions
586 Solvers

Last Solution submitted on Sep 27, 2020

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Peter Wittenberg on 13 Jan 2013

The test suite checks for equality, but different techniques have small numerical differences. The test suite should allow for these differences, as it eliminates many solutions that are correct.

goc3 on 24 Jan 2017

This problem has been updated to check against a small error value rather than for equality.

Andrew Ramsay on 3 Dec 2019

Good problem

Solution Comments

Solution 2593591

1 Comment

1 Comment

Piero Cimule on 21 Jun 2020

d1=sqrt((X(2)-X(1))^2+(Y(2)-Y(1))^2); %distancia de A hasta B
d2=sqrt((X(3)-X(1))^2+(Y(3)-Y(1))^2); %distancia de A hasta C
d3=sqrt((X(3)-X(2))^2+(Y(3)-Y(2))^2); %distancia de B hasta C

s=(d1+d2+d3)/2; %Semiperimetro
y=sqrt(s*(s-d1)*(s-d2)*(s-d3)) %Fórmula de Herón

Solution 256239

1 Comment

1 Comment

shen on 26 Dec 2013

......

Problem Recent Solvers586

Problem Tags

math triangle

Problem 769. Calculate the area of a triangle between three points

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers586

Suggested Problems

More from this Author11

Problem Tags

Problem 769. Calculate the area of a triangle between three points

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers586

Suggested Problems

More from this Author11

Problem Tags

Players