Question

if ( cg = 7t - 57 ) and ( eg = 9t - 77 ), find ( eg ) in rectangle ( cdef ).
( eg = square )

Explanation:

Step1: Set segments equal (rectangle diagonals bisect)

$CG = EG$
$7t - 57 = 9t - 77$

Step2: Solve for t

$9t - 7t = 77 - 57$
$2t = 20$
$t = 10$

Step3: Substitute t into EG formula

$EG = 9(10) - 77$

Answer:

13