Question

What is the perimeter of a triangle with corners at `(7 ,9 )`, `(8, 2 )`, and `(9 ,4 )`?

Answer 1

Perimeter `P=5sqrt2+sqrt5+sqrt29=14.6923" "`units

Explanation:

compute lengths of sides:

`d_1=sqrt((7-8)^2+(9-2)^2)=5sqrt2`
`d_2=sqrt((8-9)^2+(2-4)^2)=sqrt5`
`d_3=sqrt((7-9)^2+(9-4)^2)=sqrt29`

Perimeter `P=sqrt50+sqrt5+sqrt29=14.6923" "`units

God bless....I hope the explanation is useful.