Question

1. (overline{gh})

f 9.7 mm g h
( f to h is 15 mm )

Explanation:

Step1: Identify the total and known segment

We know the length from \( F \) to \( H \) is \( 15 \) mm and from \( F \) to \( G \) is \( 9.7 \) mm. To find \( GH \), we subtract the length of \( FG \) from \( FH \).

Step2: Perform the subtraction

The formula is \( GH = FH - FG \). Substituting the values, we get \( GH = 15 - 9.7 \). Calculating this, \( 15 - 9.7 = 5.3 \) mm.

Answer:

The length of \( \overline{GH} \) is \( 5.3 \) millimeters.