SOLUTION: Assume that AD is the geometric mean of BD and DC in triangle ABC. a) Find AD if BD = 6 and DC = 8 b) Find BD if AD = 6 and DC = 8

Algebra ->  Pythagorean-theorem -> SOLUTION: Assume that AD is the geometric mean of BD and DC in triangle ABC. a) Find AD if BD = 6 and DC = 8 b) Find BD if AD = 6 and DC = 8       Log On


   

Question 855348: Assume that AD is the geometric mean of BD and DC in triangle ABC.
a) Find AD if BD = 6 and DC = 8
b) Find BD if AD = 6 and DC = 8
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that AD is the geometric mean of BD and DC in triangle ABC.
BD/AD = AD/DC
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a) Find AD if BD = 6 and DC = 8
6/AD = AD/8
AD = sqrt(48) = 4sqrt(3)
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b) Find BD if AD = 6 and DC = 8
BD/6 = 6/8
BD = 36/8
BD = 9/2
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Cheers,
Stan H.
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