Question

Solve for x and find the length of GH (show work)

Answer 1

A. How are GH and GI related?

• They are tangents.

B. Write an equation to solve for x.

• GH = GI

C. Let's solve the equation...

GH : 2x

GI : x + 12

• 2x = x + 12
• 2x - x = 12
• x = 12

D. Now, that we solve for x, let's find the length of GH....

GH = 2x where, x = 12

• 2(12)
• 24

Therefore, the length of GH is 24.