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Question
In the following figure, XY = 10 cm and LT = 4 cm. Find the length of XT.
Sum
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Solution
Given: XY = 10 cm and LT = 4 cm
Congruent tangent segments are those drawn from an exterior point to a circle.
Thus, XY = XZ = 10 cm
Similarly, LT = TZ = 4 cm
Now, XT = XZ – TZ
= 10 – 4
= 6 cm
Hence, the length of XT is 6 cm.
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Tangent Segment Theorem
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