Question

What is the perimeter of a triangle with corners at `(3 ,4 )`, `(2 ,0 )`, and `(4 ,9 )`?

Answer 1

Perimeter `P=sqrt17+sqrt26+sqrt85=18.441669" "`units

Explanation:

Compute the distances from point to point
`d_1=sqrt((3-2)^2+(4-0)^2)=sqrt(1+16)=sqrt17`
`d_2=sqrt((4-3)^2+(9-4)^2)=sqrt(1+25)=sqrt26`
`d_3=sqrt((4-2)^2+(9-0)^2)=sqrt(4+81)=sqrt85`

Perimeter is the sum`=d_1+d_2+d_3=sqrt17+sqrt26+sqrt85=18.441669" "`units

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