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Mathematics 18 Online
OpenStudy (anonymous):

In the diagram, ΔABC is a right triangle with DG⊥CB. What are the coordinates of G?

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):

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.

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

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

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