Question

Part F

I NEED HELP!
What is the geometric mean of the measures of the line segments A Dand DC? Show your work.

Answer 1

AC2 = AB2 + BC2 ---> AC2 = 122 + 52 ---> AC = 13

AD / AB = AB / AC ---> AD / 12 = 12 / 13 ---> AD = 144/13

DC = AC - AD ---> DC = 13 - 144/13 ---> DC = 25/13

AD / DB = DB / DC ---> DB2 = AD · DC ---> DB2 = (144/13) · (25/13) ---> DB = 60/13

DB is the geometric mean of AD and DC.

Explanation: