The points W(-2,-2), X(-6,2) , Y(2,5) and Z(6,1) are the vertices of parallelogram WXYZ. Find the length of the diagonal XZ
To find the length of the diagonal XZ, you use the distance formula:
`d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)`
where d = length
You can consider any of the point X or point Z is point 1 or 2. Just be consistent. If x2 = 6 then y2 = 1.
Applying the formula, you have:
`d = sqrt((6-(-6))^2 + (1-2)^2)`
`d = sqrt((6+6)^2 + (-1)^2)`
`d = sqrt(145)`
Since it is not a perfect square and no factor of 145 is a perfect square, you can have `sqrt(145)` as the answer or you can use your calculator to get the decimal equivalent of 12.0416 units.