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# Can I please have help?

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Let $$X, Y,$$ and $$Z$$ be points on a circle. Let line $$XY$$ and the tangent to the circle at $$Z$$ intersect at $$W.$$ If $$WX=4, WZ=8$$, and $$\overline{WY} \perp \overline{WZ}$$, then find $$YZ.$$

I know there is another thread on this, but it doesn't seem like it is right.

Jun 16, 2021

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We can use power of a point to find XY.

8^2 = 4 * xy

xy = 16

Now we have a right triangle with legs 20 and 8.

sqrt(20^2 + 8^2) = sqrt(464) = 4sqrt(29)

=^._.^=

Jun 17, 2021