Math, asked by saketh95, 5 months ago

some examples of angular Bisectors of a triangle​

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Answered by Anonymous
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Answer:

***********Triangle Angle bisector theorem examples **************

                             Triangle Angle Bisector Theorem

  • The angles ∠4 and ∠1 are corresponding angles.
  • So, ∠4≅∠1 .
  • Since ¯AD is a angle bisector of the angle ∠CAB, ∠1≅∠2 .
  • By the Alternate Interior Angle Theorem , ∠2≅∠3 .
  • Therefore, by transitive property, ∠4≅∠3 .
  • Since the angles ∠3 and ∠4 are congruent , the triangle ΔABE is an isosceles triangle with AE=AB .

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