Respuesta :

Hello!

You can use the Pythagorean Theorem

[tex] a^{2} + b^{2} = c^{2} [/tex]

C is the hypotenuse which is the line across the diameter
a and b are the other sides

You have to find the bottom side of the triangle

9 - 6 = 3

Put in the values you know

[tex] 9^{2} + 3^{2} = c^{2} [/tex]

Square the numbers

[tex]81 + 9 = c^{2} [/tex]

Add

[tex]90 = c^{2} [/tex]

take the square root of both sides

[tex] \sqrt{90} = c[/tex]

The answer is [tex]C) \sqrt{90} [/tex]

Hope this helps!