Answer:
[tex]x[/tex] = 44.50
Step-by-step explanation:
Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]
Here, [tex]a[/tex] (or [tex]b[/tex], it doesn't matter) = 9 and [tex]c[/tex] = 24.
[tex]9^{2} +b^{2} =24^{2}[/tex]
[tex]81+b^{2} =576[/tex]
[tex]b^{2} =495[/tex] (subtract 81 from both sides)
[tex]b[/tex] ≈ 22.249 (apply square root to both sides)
[tex]b[/tex] is half of [tex]x[/tex], so 2
[tex]x[/tex] ≈ 44.50
