Question

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

Answer 1

Length of segment PZ = 6 units

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 =
`(84)/(14)`

PZ = 6 units

Therefore, length of the segment PZ = 6 units.