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Please show work and thank you

Please show work and thank you-example-1
User VoidStack
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1 Answer

5 votes

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)}

User Psycho
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5.2k points