Answer:
[tex]AC = 12.12[/tex]
Step-by-step explanation:
Step 1: Determine side AC
[tex]Pythagorean\ theorem[/tex] → [tex]a^2 + b^2 = c^2[/tex]
[tex](AC)^2 + (CB)^2 = (AB)^2[/tex]
[tex](AC)^2 + (7)^2 = (14)^2[/tex]
[tex](AC)^2 + 49 = 196[/tex]
Step 2: Subtract 49 from both sides
[tex](AC)^2 + 49 - 49 = 196- 49[/tex]
[tex](AC)^2 = 147[/tex]
Step 3: Square root both sides
[tex]\sqrt{(AC)^2} = \sqrt{147}[/tex]
[tex]AC = 12.12[/tex]
Answer: [tex]AC = 12.12[/tex]
