Question

find eh in parallelogram efgh.
g
8t - 4
f
h
6t + 2
e
eh =
submit

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, opposite sides are equal. So \(FG = EH\). Given \(FG=8t - 4\) and \(EH = 6t+2\), we set up the equation \(8t-4=6t + 2\).

Step2: Solve the equation for \(t\)

Subtract \(6t\) from both sides: \(8t-6t-4=6t-6t + 2\), which simplifies to \(2t-4=2\).
Add \(4\) to both sides: \(2t-4 + 4=2+4\), so \(2t=6\).
Divide both sides by \(2\): \(t=\frac{6}{2}=3\).

Step3: Find the length of \(EH\)

Substitute \(t = 3\) into the expression for \(EH\). \(EH=6t+2\), so \(EH=6\times3+2=18 + 2=20\).

Answer:

\(20\)