Question

find the length of side \\( \overline { a b } \\) for the parallelogram shown.

Explanation:

Step1: Identify coordinates

Coordinates of \(A(5,2)\) and \(B(5,5)\)

Step2: Apply distance formula for vertical line

Since \(x\)-coordinates are same (\(x = 5\)), use \(d=\vert y_2 - y_1\vert\). Here \(y_1 = 2\), \(y_2=5\)
\(d=\vert5 - 2\vert\)

Answer:

\(3\)