Question

Find the length of VU

Answer 1

Answer: 11.40

Explanation:

For this question you would use the Pythagorean Theorem:
`a^(2) +b^(2) =c^(2)`

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

`a^(2) + b^(2) = c^(2)`

`9^(2) + 7^(2) = c^(2)`

`81+49=c^(2)`

`130=c^(2)`

`√(130)=\sqrt{c^(2) }`

`11.40175=c`

Therefore we can see that length VU is 11.40 long