Answer:
Option C, 7.5
Step-by-step explanation:
To find the hypotenuse, use Pythagorean Theorem: [tex]a^2 +b^2 = c^2[/tex]
Step 1: Find the hypotenuse
[tex]a^2 +b^2 = c^2[/tex]
[tex](6)^2 + (4.5)^2 = c^2[/tex]
[tex]36 + 20.25 = c^2\\[/tex]
[tex]56.25 = c^2[/tex]
Step 2: Square root both sides
[tex]\sqrt{56.25} = \sqrt{c^2}[/tex]
[tex]7.5 = c[/tex]
Answer: Option C, 7.5
