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if eh = gh = 18, ef = a + 12, and fg = 2a, what is the value of a? a = □

Question

if eh = gh = 18, ef = a + 12, and fg = 2a, what is the value of a? a = □

Explanation:

Step1: Recognize property

Since EH = GH and the line is a perpendicular - bisector, EF = FG.

Step2: Set up equation

a + 12=2a.

Step3: Solve for a

12 = 2a - a, so a = 12.

Answer:

12