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

Created by Reza Ahmadzadeh

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<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: 141px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 70.5px; transform-origin: 407px 70.5px; 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: 167.5px 8px; transform-origin: 167.5px 8px; unicode-bidi: normal; "><span style="">Calculate the area of a triangle between three points:</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: 32px 8px; transform-origin: 32px 8px; unicode-bidi: normal; "><span style="">P1(X1,Y1)</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: 32px 8px; transform-origin: 32px 8px; unicode-bidi: normal; "><span style="">P2(X2,Y2)</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: 32px 8px; transform-origin: 32px 8px; unicode-bidi: normal; "><span style="">P3(X3,Y3)</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: 155.5px 8px; transform-origin: 155.5px 8px; unicode-bidi: normal; "><span style="">these three points are the vertices of the triangle.</span></span></div></div></div>

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Solution Stats

5936 Solutions
2219 Solvers

Last Solution submitted on Mar 30, 2023

Last 200 Solutions

Problem Comments

6 Comments

6 Comments

Show 3 older 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

Vishal on 12 Oct 2020

Hi Team,

I am getting error after submitting as,

"We're sorry, but something went wrong. We've been notified about this issue and we'll take a look at it shortly"

But completion bar has been incremented.
Thanks and Have a Good DaY

BunnY on 25 Oct 2020

Would the use of polyarea(x,y) work?
I tried but I'm getting an issue to submit!

mahesh kumar on 31 Oct 2020

for bringing back memories- THANK YOU!

Solution Comments

Solution 6912034

1 Comment

1 Comment

Josh Klueber on 18 Nov 2021

tricky

Solution 5678615

1 Comment

1 Comment

john perkins on 4 May 2021

nice

Solution 4754357

2 Comments

2 Comments

Michael Green on 5 Feb 2021

I think you need to fix your testing algorithm. I have the right answer but it keeps saying error.

Dyuman Joshi on 22 Feb 2021

@Michael, The testing algorithm is correct. Kindly look into why your code is producing the incorrect result.

Solution 4141995

1 Comment

1 Comment

Cory Cunningham on 11 Dec 2020

This was a neat problem to practice triangular based calculations.

Solution 3569380

1 Comment

1 Comment

Nafees Ul Haque Akhand on 9 Apr 2021

Nice solve man!!!
I am impressed!!

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

......

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

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

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