. In figure 3.48, point A is on the bisector of ZXYZ.
If AX = 2 cm then find AZ.
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Answer:
Ay is the bisector of <xyz
so, <ayx = <ayz .......(1)
In tri.ayx and tri.ayz
<axy = < azy (each of 90°)
Ay =Ay (common )
<ayx = <ayz (from eq.1 )
tri.ayx is congruent tri.ayz (AAS similarity )
AX = AZ ( By C.P.C.T.C )
AX =2 cm
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