Question

if ( ce = 7u - 4 ) and ( cg = 6u ), find ( cg ) in parallelogram ( defg ).

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(CG = CE\).
Given \(CE = 7u - 4\) and \(CG = 6u\), we set up the equation \(7u-4=6u\).

Step2: Solve for \(u\)

Subtract \(6u\) from both sides of the equation \(7u - 4=6u\):
\(7u-6u-4=6u - 6u\)
\(u-4 = 0\)
Add \(4\) to both sides: \(u=4\).

Step3: Find \(CG\)

Since \(CG = 6u\) and \(u = 4\), substitute \(u\) into the formula for \(CG\):
\(CG=6\times4\).

Answer:

\(24\)