Question

1. if g is the circumcenter of $\triangle ace$, find $gd$.

Explanation:

Step1: Set AG = CG (circumcenter property)

$7x - 41 = 5x - 19$

Step2: Solve for x

$7x - 5x = -19 + 41$
$2x = 22$
$x = 11$

Step3: Find CG length

$CG = 5(11) - 19 = 55 - 19 = 36$

Step4: GD = CG (circumcenter property)

$GD = CG = 36$

Answer:

36