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

1 Answer
Alan P.
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
1067 views around the world
You can reuse this answer
Creative Commons License