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Maharashtra State BoardSSC (English Medium) 9th Standard

In the given figure, point A is on the bisector of ∠ XYZ. If AX = 2 cm then find AZ. - Geometry

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Question

In the given figure, point A is on the bisector of ∠ XYZ. If AX = 2 cm then find AZ.

Sum

Solution

AX = 2 cm     ...(Given)

Point A lies on the bisector of ∠XYZ.     ...[Given]

Point A is equidistant from the sides of ∠XYZ.      ...[Every point on the bisector of an angle is equidistant from the sides of the angle]

∴ AZ = AX

∴ AZ = 2 cm

Hence, the length of AZ is 2 cm.

shaalaa.com
Angle Bisector Theorem
  Is there an error in this question or solution?
Chapter 3: Triangles - Practice Set 3.4 [Page 43]

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