mikey7223 mikey7223
  • 05-06-2020
  • Mathematics
contestada


Chords XY and ZW intersect in a circle at P. If
XP = 7, PY=12, and WP= 14, find PZ.

Respuesta :

eudora eudora
  • 09-06-2020

Answer:

Length of segment PZ = 6 units

Step-by-step explanation:

As per theorem of intersecting chords in a circle ;

"Product of lengths of line segments on each chord are equal".

From the figure attached,

Chords XY and WZ are intersecting at point P in a circle.

By theorem;  XP × PY = WP × PZ

7 × 12 = 14 × PZ

PZ = [tex]\frac{84}{14}[/tex]

PZ = 6 units

Therefore, length of the segment PZ = 6 units.

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