Question

What is the perimeter of a triangle with corners at `(3 ,6 )`, `(1 ,8 )`, and `(8 ,1 )`?

Answer 1

Perimeter `= 14sqrt(2)`

Explanation:

Distance between
`color(white)("XXX")(3,6) and (1,8) = sqrt((3-1)^2+(6-8)^2)=sqrt(2^2+2^2)=2sqrt(2)`

`color(white)("XXX")(1,8) and (8,1) = sqrt((1-8)^2+(8-1)^2)=sqrt(7^2+7^2)=7sqrt(2)`

`color(white)("XXX")(8,1) and (3,6) = sqrt((8-3)^2+(1-6)^2)=sqrt(5^2+5^2)=5sqrt(2)`

Perimeter `=2sqrt(2)+7sqrt(2)+5sqrt(2)=14sqrt(2)`