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Determine if segment FT is tangent to circle P

Determine if segment FT is tangent to circle P-example-1

1 Answer

2 votes

Answer:

  • No, the segment is not tangent

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Tangent line to a circle is perpendicular to a radius at the point of tangency. It makes the radius and tangent segments the legs of a right triangle.

To verify if the segment is tangent, use Pythagorean theorem:

  • 25² = 9² + 19²
  • 625 = 81 + 361
  • 625 ≠ 442

This is false, hence the answer is no.

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