Question

What is the perimeter of a triangle with corners at `(7 ,8 )`, `(8 ,3 )`, and `(4 ,5 )`?

Answer 1

Perimeter `P=13.8138`

Explanation:

Perimeter `P=a+b+c`
Let `A(x_a, y_a)=(7, 8)`
Let `B(x_b, y_b)=(8, 3)`
Let `C(x_c, y_c)=(4, 5)`

Let a be distance from B to C
Let b be distance from A to C
Let c be distance from A to B

`a=sqrt((x_b-x_c)^2+(y_b-y_c)^2)=2sqrt5`
`b=sqrt((x_a-x_c)^2+(y_a-y_c)^2)=3sqrt2`
`c=sqrt((x_a-x_b)^2+(y_a-y_b)^2)=sqrt26`

`P=13.8138`

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