Given:
BC = 8 inches
AC = 17 inches
Let's solve for length of segment AB.
To solve for AB, apply Pythagorean theorem.
We have:
[tex]AC^2=BC^2+AB^2[/tex]
Now, rewrite the equation for AB:
[tex]AB^2=AC^2-BC^2[/tex]
Plug in the values:
[tex]\begin{gathered} AB^2=17^2-8^2 \\ \\ AB^2=289-64 \\ \\ AB^2=225 \end{gathered}[/tex]
Take the square root of both sides:
[tex]\begin{gathered} \sqrt{AB^2}=\sqrt{225} \\ \\ AB=15 \end{gathered}[/tex]
Therefore, the length of AB is 15 inches.
ANSWER:
15 inches
