1. AD= 12 and CD=8 find BD
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OpenStudy (anonymous):
weres the diagram
OpenStudy (anonymous):
hold up girl ill show it in a bit
problem 36
OpenStudy (anonymous):
diagrem next to it
OpenStudy (anonymous):
@jim_thompson5910 help me please :)
OpenStudy (anonymous):
u have to get the altitude ....
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jimthompson5910 (jim_thompson5910):
let x = length of BD
AD/BD = BD/CD
12/x = x/8
12*8 = x*x
96 = x^2
...
...
...
x = ??
OpenStudy (anonymous):
??\\
jimthompson5910 (jim_thompson5910):
if x^2 = 96, then what is x
OpenStudy (anonymous):
x-48
jimthompson5910 (jim_thompson5910):
no
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OpenStudy (anonymous):
i mean x=48
jimthompson5910 (jim_thompson5910):
you don't divide both sides by 2
jimthompson5910 (jim_thompson5910):
you take the square root of both sides (to undo the square) and you simplify as much as possible
\[\large x^2 = 96\]
\[\large x = \sqrt{96}\]
\[\large x = \sqrt{16*6}\]
\[\large x = \sqrt{16}*\sqrt{6}\]
\[\large x = 4\sqrt{6}\]
OpenStudy (anonymous):
thnxxx'
jimthompson5910 (jim_thompson5910):
np
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OpenStudy (anonymous):
@jim_thompson5910 can you check the diagram and help me on 38 please
jimthompson5910 (jim_thompson5910):
same idea, but now
AD/BD = BD/CD
sqrt(2)/x = x/sqrt(2)
sqrt(2)*sqrt(2) = x*x
(sqrt(2))^2 = x^2
x = ???
OpenStudy (anonymous):
????
jimthompson5910 (jim_thompson5910):
if x^2 = (sqrt(2))^2
then what is x
jimthompson5910 (jim_thompson5910):
x = ??? means I want you to fill in the blank
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OpenStudy (anonymous):
sorrry but i dont get it at all
jimthompson5910 (jim_thompson5910):
a square root undoes a square, so squaring a square root makes it go away
jimthompson5910 (jim_thompson5910):
this is why (sqrt(2))^2 = 2
so
x^2 = 2
x = sqrt(2)
OpenStudy (anonymous):
by geometric mean property
\[BD^2=AD \times CD=12\times 8\]
\[BD^2=96 \rightarrow BD = \sqrt{96}=4\sqrt{6}\]