Question

Please please help me.I am so lost with this math

Answer 1

`6√(5)`

Explanation:

In any right triangle, the Pythagorean theorem states:

`a^2+b^2=c^2`, where
`a` and
`b` are two legs of the triangle and
`c` is the hypotenuse.

Plugging in given values, we have:

`12^2+VU^2=18^2,\\144+VU^2=324,\\VU^2=180,VU=√(180)=√(36)\cdot √(5)=\boxed{6√(5)}`