Question

What is the perimeter of a triangle with corners at `(1 ,8 )`, `(8 ,3 )`, and `(4 ,5 )`?

Answer 1

Perimeter of triangle is `17.317`

Explanation:

Perimeter is th sum of all the sides of a polygon including that of a triangle.

Hence let us find the sides of triangle formed by `(1,8)`, `(8,3)` and `(4,5)`. This will be surely distance between pair of points, which is

`a=sqrt((8-1)^2+(3-8)^2)=sqrt(49+25)=sqrt74=8.6023`

`b=sqrt((4-8)^2+(5-3)^2)=sqrt(16+4)=sqrt20=4.4721` and

`c=sqrt((1-4)^2+(8-5)^2)=sqrt(9+9)=sqrt18=4.2426`

Hence, perimeter is `8.6023+4.4721+4.2426=17.317`