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OpenStudy (anonymous):
is it simply 12-10?
ganeshie8 (ganeshie8):
careful. XZ is not tangent here to simply do that
Directrix (directrix):
First up, I have to mark up the diagram.
Why do you think the answer is 2? @stupidinmath
OpenStudy (anonymous):
guessing :|
Directrix (directrix):
@stupidinmath On the diagram, do you agree that OW is a radius of the circle?
And, do you see that XY is a diameter of the same circle?
So, OW =
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OpenStudy (anonymous):
ZY/2 = OW?
OW=5
Directrix (directrix):
Look at the diagram now.
OpenStudy (anonymous):
So.. 12 - 5
so YZ= 7?
ganeshie8 (ganeshie8):
stop guessing ;p
Directrix (directrix):
WOZ is a right triangle with legs of lengths 5 and 12.
Part of the hypotenuse is 5 but we need the other part.
So, you can use the Pythagorean Theorem to find hypotenuse OZ and then subtract 5 from that to get YZ.
If you remember the Pythagorean Triple (5, 12, 13) the solution will be a little faster but not too much faster. :)
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