Question

point i is on line segment \\(\overline{hj}\\). given \\(ij = 2\\) and \\(hj = 12\\), determine the length \\(\overline{hi}\\). answer attempt 1 out of 2 \\(hi = \\) submit answer

Explanation:

Step1: Recall segment addition postulate

For a line segment \( \overline{HJ} \) with point \( I \) on it, the segment addition postulate states that \( HI + IJ = HJ \).

Step2: Substitute known values

We know \( IJ = 2 \) and \( HJ = 12 \). Substituting these values into the equation \( HI + 2 = 12 \).

Step3: Solve for \( HI \)

Subtract 2 from both sides of the equation: \( HI = 12 - 2 \).
Calculating the right - hand side, we get \( HI = 10 \).

Answer:

\( 10 \)