Answer: 11.40
Step-by-step explanation:
For this question you would use the Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]
First, let's create a triangle between points V, U, and also the center (we'll mark the center point O)
So now we have a triangle VOU
Pythagorean Theorem states that to find the hypotenuse, c, we must take the sum of the square of a and b.
Let a be the length VO and let b be the length OU
VO (a) = 9
OU (b) = 7
Now take the formula and plug in the values to find c
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]9^{2} + 7^{2} = c^{2}[/tex]
[tex]81+49=c^{2}[/tex]
[tex]130=c^{2}[/tex]
[tex]\sqrt{130}=\sqrt{c^{2} }[/tex]
[tex]11.40175=c[/tex]
Therefore we can see that length VU is 11.40 long
