Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the perimeter of a triangle whose coordinates are (10,2) and (7,-3)?

1 Answer

Jun 4, 2015

Assuming the third coordinate is the origin $(0,0)$

Using the Pythagorean Theorem:

$color(white)("XXXX")$ Distance $(0,0)$ to $(10,2)$
$color(white)("XXXX")$ $color(white)("XXXX")$ $sqrt(10^2+2^2) = sqrt(104)$

$color(white)("XXXX")$ Distance $(0,0)$ to $(7,-3)$
$color(white)("XXXX")$ $color(white)("XXXX")$ $sqrt(7^2+(-3)^2) = sqrt(58)$

$color(white)("XXXX")$ Distance $(10,2)$ to $(7,-3)$
$color(white)("XXXX")$ $color(white)("XXXX")$ $sqrt(3^2+5^2) =sqrt(34)$

Perimeter = $sqrt(104) + sqrt(58)+sqrt(34)$

(perhaps this would have been a prettier answer with a third point other than the origin)

Related questions

See all questions in Distance Formula

Impact of this question

1519 views around the world

You can reuse this answer
Creative Commons License