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Circle $A$ and Circle $B$ intersect at two points $P$ and $Q.$ A common tangent line of the two circles touches circle $A$ and circle $B$ at points $X$ and $Y$ respectively. $XY$ and the extension of $PQ$ intersect at $Z.$ We know the radius of circle $A$ is 7, the radius of circle $B$ is 24, and $AB=25.$ Find $\frac{XZ}{ZY}.$

 Dec 19, 2020
 #1
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XZ / ZY = 0.35430839

 Dec 19, 2020
 #2
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Circle A and Circle B intersect at two points P and Q. A common tangent line of the two circles touches circle A and circle B at points X and Y respectively. XY and the extension of PQ intersect at Z. We know the radius of circle A is 7, the radius of circle B is 24, and AB = 25. Find XZ / ZY.

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XZ ≅ ZY   ==>      XZ / ZY = 1  smiley

 

jugoslav  Dec 21, 2020

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