Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Step 1: Determine the Pythagorean theorem
Formula → [tex]a^2 + b^2 = c^2[/tex]
Step 2: Plug in and solve
[tex](x)^2 + (5)^2=(\sqrt{89})^2[/tex]
[tex]x^2 + 25 = 89[/tex]
[tex]x^2 + 25 - 25 = 89 - 25[/tex]
[tex]x^2 = 64[/tex]
[tex]\sqrt{x^2} = \sqrt{64}[/tex]
[tex]x = \pm8[/tex]
Since we can only have a positive length, this means that we get 8 cm
Answer: [tex]x = 8[/tex]
