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in the figure below, two seconds are drawn to a circle from exterior point H. Suppose that HW=72, HZ=9, and HX=14.4. Find HY.

in the figure below, two seconds are drawn to a circle from exterior point H. Suppose-example-1
User Polkas
by
6.3k points

1 Answer

2 votes

When two secants are arranged in the form of the picture the segments must obey the following rule:


HX\cdot HY=HZ\cdot HW

Applying the data from the problem we have:


\begin{gathered} 14.4\cdot HY=9\cdot72 \\ HY=(9\cdot72)/(14.4) \\ HY=45 \end{gathered}

The length of HY is 45.

User Askilondz
by
6.5k points
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