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and the feature below, two chords intersect inside the circle at point U. suppose that UM = 26, UJ = 13, and UK =39. Find UN.

and the feature below, two chords intersect inside the circle at point U. suppose-example-1
User Gthuo
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1 Answer

3 votes

The Intersecting Chords theorem states that the products of the line segments on each chord are equal. In other words,


UM\cdot UN=UJ\cdot UK

We already know that UM = 26, UJ = 13, and UK = 39. Putting these values in the above equation gives us


26\cdot UN=13\cdot39
26\cdot UN=507

Dividing both sides by 26 gives


\textcolor{#FF7968}{UN=19.5.}

which is our answer!

User Neyda
by
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