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In the following figure, XY = 10 cm and LT = 4 cm. Find the length of XT. - Geometry Mathematics 2

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प्रश्न

In the following figure, XY = 10 cm and LT = 4 cm. Find the length of XT.

योग

उत्तर

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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