Question

View distance formula question:
Find the perimeter and the length of the diagonals of parallelogram RUST.

R(1, 4), S(0, -1), T(2, 2), U(-1, 1)
The Perimeter should look like this:
P = _ sqrt _ + _ sqrt _

Answer 1

Can anyone help me find the perimeter and the length?

Answer 2

the distance formula for coordinate geometry is

\[d = \sqrt{(x _{2} -x _{1})^2 + (y _{2} - y _{1})^2}\]

it is just prthagoras's theorem

so the distance between R and S is

let R be the 1 point and S be the 2 point

then

\[RS = \sqrt{(0 - 1)^2 +(-1 -4)^2 } = \sqrt{(-1)^2 + (-5)^2} = \sqrt{26}\]

same process to find ST

then the perimeter is

\[P = 2\sqrt{26} + 2\sqrt{?}\] ? is the length of ST

since a parallelogram has opposite sides equal.

then find the diagonals R T and SU using the same formula.

Answer 3

okay, thanks!