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Asked: 2023-03-27T04:32:08+00:00 In:

In Δ ABC, AD is the perpendicular bisector of BC (see Figure). Show that Δ ABC is an isosceles triangle in which AB = AC.

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In Δ ABC, AD is the perpendicular bisector of BC (see Figure). Show that Δ ABC is an isosceles triangle in which AB = AC.

How to use trigonometric ratios to relate their sides and angles.
Class 9th Maths Important Question Answer.
Class 9, EXERCISE 7.2, Page No: 123, Questions No:2.
CBSE Board and Others state Board, Session 2023-2024.

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      In Δ ABC, AD is the perpendicular bisector of BC (see Figure). Show that Δ ABC is an isosceles triangle in which AB = AC.

      In ΔABD and ΔACD,
      BD = DC [∵ AD bisects BC]
      ∠ADB = ∠ADC [∵ Each 90°]
      AD = AD [∵ Common]
      Hance, ΔABD ≅ ΔACD [∵ SAS Congruency Rule]
      AB = AC [∵ CPCT]
      Hence, ABC is an isosceles triangle.

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