Question

Please show work and thank you

Answer 1

Answer:
`4√(7)`

Explanation:

If
`AC=16, DC=7`, then this means
`AD=9`.

So, by the geometric mean theorem,
`DB=√((9)(7))=√(63)`.

This means that by the Pythagorean theorem,
`BC=\sqrt{\left(√(63) \right)^(2)+7^(2)}=\boxed{4√(7)}`