Geometry Problem: Distances in Triangle

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Questions and Answers

What are the coordinates of point P?

  • (0, -1)
  • (2, 5)
  • (1, 0) (correct)
  • (5, 2)

What is the y-coordinate of point A?

  • 2
  • 9
  • 0
  • -5 (correct)

Which equation was likely used to relate the lengths PA and PB?

  • $12^2 = PA + PB$
  • $12^2 + an^2 heta = 0$
  • $12^2 + an^2 heta$
  • $12^2 = PA^2 + PB^2$ (correct)

How is the relationship between distances PA and PB characterized?

<p>PA and PB are equal (D)</p> Signup and view all the answers

What are the coordinates of point B?

<p>(-2, 9) (B)</p> Signup and view all the answers

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Study Notes

Geometry Problem

  • The problem involves finding the relationship between the distances PA and PB.
  • Points A and B have coordinates (2,-5) and (-2,9) respectively.
  • Point P has coordinates (1,0).
  • The notes show an equation involving $12^2$ and $\cot^2 \theta$ to determine the distances PA and PB, which seem to be equal.

Diagram

  • A triangle is drawn.
  • The vertices are labeled A, B, and P.

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