Question

what is the value of s?
h i
s+27
f
4s
g
s =

Explanation:

Step1: Apply the perpendicular bisector theorem

Since \( HF \) is the perpendicular bisector of \( GI \), by the perpendicular bisector theorem, \( HG = HI \).
So, \( 4s=s + 27 \).

Step2: Solve the equation

Subtract \( s \) from both sides of the equation \( 4s=s + 27 \).
\( 4s−s=s + 27−s \), which simplifies to \( 3s=27 \).
Divide both sides by 3: \( s=\frac{27}{3} \).

Answer:

\( 9 \)