Chords XY and ZW intersect in a circle at P. If XP = 7, PY=12, and WP= 14, find PZ.
1 answer:
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 =
PZ = 6 units
Therefore, length of the segment PZ = 6 units.
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