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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the Figure, Ray Ym is the Bisector of ∠Xyz, Where Seg Xy ≅ Seg Yz, Find the Relation Between Xm and Mz.

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प्रश्न

In the figure, ray YM is the bisector of ∠XYZ, where seg XY ≅ seg YZ, find the relation between XM and MZ. 

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उत्तर १

Given : YM bisects ∠XYZ, XY = YZ 

In ΔXYZ,

`(XY)/(YZ)=(XM)/(MZ)`          (Angle bisector theorem)

1 = `(XM)/(MZ) ` (XY = YZ)

XM = MZ 

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उत्तर २

Given : YM bisects ∠XYZ, XY = YZ 

In ΔXYZ,

`(XY)/(YZ)=(XM)/(MZ)`          (Angle bisector theorem)

1 = `(XM)/(MZ) ` (XY = YZ)

XM = MZ 

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Property of an Angle Bisector of a Triangle
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2013-2014 (October)

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