Question

if $eh = 4t - 46$ and $gh = 6t - 78$, find $eh$ in rectangle $defg$.
$eh = \square$

Explanation:

Step1: Set segments equal (rectangle diagonals)

$4t - 46 = 6t - 78$

Step2: Solve for t

$ -46 + 78 = 6t - 4t $
$32 = 2t$
$t = 16$

Step3: Substitute t into EH formula

$EH = 4(16) - 46$

Answer:

$EH = 18$