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# Can anyone solve this?

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Triangle WXY has side lengths XY=14 and WX=8 . The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W that is parallel to this tangent intersects XY at Z. Find YZ.

The answer might be 9.428560495, but I think it needs to be in fractional form.

Thank you so much!!!

Aug 2, 2020
edited by Noori  Aug 2, 2020
edited by Noori  Aug 3, 2020
edited by Noori  Aug 3, 2020

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Using similar triangles, YZ = 47/5.

Aug 2, 2020
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This is how that inscribed triangle actually looks.

Scale 1:1

Aug 3, 2020
edited by Dragan  Aug 3, 2020
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This was the diagram given in the question...

Noori  Aug 3, 2020
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Diagram in the question is NOT to scale!!!

I'll give you the answer one more time:  YZ = 9.428560495

Guest Aug 3, 2020
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Hello, ilorty! Thanks for defending me so zealously!!!

I'm that Guest above your post; number in red is wrong! I copied it off Noori's post.

(btw,  Dragan is a common male name in my homeland. People often confuse my name with dragon)

Dragan  Aug 3, 2020
edited by Dragan  Aug 3, 2020
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Is this the third thread for this question ?

It would help if there were just one.

One of the other threads does contain the sorrect solution and answer (66/7).

Aug 3, 2020
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How do you convert    9.428571429  to  66/7 ?

Guest Aug 3, 2020
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That can be done this way: multiply decimal number by a whole number in order to get a whole number as a product.

( Hope it's understandable. English is my second language.)

9.428571429 * 5 =  no

9.428571429 * 6 =  no

9.428571429 * 7 =  66

Maybe there's some more "mathematical" way to do that.

Dragan  Aug 3, 2020
edited by Dragan  Aug 3, 2020
edited by Dragan  Aug 3, 2020