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Asked: 2023-03-27T04:32:17+00:00 In:

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Figure). Show that these altitudes are equal.

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ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Figure). Show that these altitudes are equal.

Prove the fact that ABC is an isosceles triangle.
Important NCERT Book, Chapter TRIANGLES Question Answer.
Class 9th Maths Important Question Answer.
EXERCISE 7.2, Page No: 124, Questions No:3.

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      ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Figure). Show that these altitudes are equal.

      In ΔABE and ΔACF,
      ∠AEB = ∠AFC [∵ Each 90°]
      ∠A = ∠A [∵ Common]
      AB = AC [∵ Given]
      Hance, ΔABE ≅ ΔACF [∵ SAS Congruency Rule]
      BE = CF [∵ CPCT]

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