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The segments in each figure are tangent to the circle at the points shown.
Find each length.

The segments in each figure are tangent to the circle at the points shown. Find each-example-1
User Sestertius
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1 Answer

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Answer:

RS = RT = 2

Explanation:

The two tangents from a point are the same length.

RS = RT

y = y^2/2

y^2/2 -y = 0

y(y/2 -1) = 0 . . . . factor out y

Values of y that make these factors zero are ...

y = 0 . . . . . . . . true if points R, S, T are coincident on the circle

y/2 -1 = 0 ⇒ y = 2

Then the segment lengths are ...

RS = RT = 2

User Yuriy Tumakha
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