Question

What is the perimeter of a triangle with corners at `(7 ,3 )`, `(4 ,5 )`, and `(3 ,3 )`?

Answer 1

`2p = sqrt 5 + sqrt 13 + 4`

Explanation:

`A = (7,3), B = (4,5), C = (3,3)`

`|AB| = sqrt( (7-4)^2 + (3-5)^2 ) = sqrt( 9 + 4 ) = sqrt 13`

`AC: y = 3 Rightarrow |AC| = |7-3| = 4`

`|BC| = sqrt( (4 - 3)^2 + (5 - 3)^2 ) = sqrt( 1 + 4 ) = sqrt 5`