Mathematics
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OpenStudy (anonymous):
In the diagram, ΔABC is a right triangle with DG⊥CB. What are the coordinates of G?
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OpenStudy (anonymous):
answer choices:
(-1, -3)
(-0.75, -1.5)
(-0.75, -3)
(3.75, -2.5)
OpenStudy (anonymous):
@kirbykirby @study100
OpenStudy (anonymous):
diagram?
OpenStudy (jdoe0001):
got picture?
OpenStudy (anonymous):
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OpenStudy (anonymous):
Do you know the distance between C and B?
OpenStudy (anonymous):
no @study100
OpenStudy (anonymous):
|dw:1406751933819:dw|
OpenStudy (anonymous):
9
OpenStudy (anonymous):
So, DISTANCE between C and D is 9.
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OpenStudy (anonymous):
okay
OpenStudy (anonymous):
Not answer yet,
OpenStudy (anonymous):
Now take a look at the graph
mAD = mDE = mEF = mFB
AB is divide to 4 CONGRUENT parts.
Can you see that from D to B, there's 3 congruent part?
OpenStudy (anonymous):
Yes i can
OpenStudy (anonymous):
|dw:1406752262689:dw|
As you can see the hypotenuse of bigger triangle AB has one more congruent part than hypotneuse of the smaller triangle
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OpenStudy (anonymous):
So you can say that mDB = 3/4 mAB
OpenStudy (anonymous):
which means that mGB = 3/4mCB
OpenStudy (anonymous):
we know that mCB= 9
so mGB = (3/4) 9
mGB= 6.75
OpenStudy (anonymous):
So is the final answer (3.75, -2.5)?
OpenStudy (anonymous):
|dw:1406752646627:dw|
to find ? take 6 - 6.75