Question

A polygon has the following coordinates: A(6,-7), B(1,-7), C(1,-4), D(3,-2), E(7,-2), F(7,-4). Find the length of EF.

Answer 1

The length of segment EF is 2 units

Explanation:

we know that

The formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

we have

`E(7,-2), F(7,-4)`

substitute in the formula

`EF=\sqrt{(-4+2)^(2)+(7-7)^(2)}`

`EF=\sqrt{(-2)^(2)+(0)^(2)}`

`EF=√(4)\ units`

`EF=2\ units`