Question

In ∆ABC, the altitudes AD, BE and CF are equal. Prove that triangle ABC is an equilateral
triangle. ​

Answer 1

see my all steps carefully and I hope this answer is definitely helpful for u :)

• In triangle ABE and triangle ACF  

BE=CF (Given)  

∠A=∠A (Common)

∠AEB=∠AFC=90°

By AAS congruent rule ABE ≅ ACF

AB=AC (CPCT)  

Similarly  

BCF ≅ ABD

AB=BC

AC=BC

AB=AC

AB = BC = AC..... Proved  

©© The triangle is a equaliteral triangle ©©

Thanks :)

Hope this is helpful for u :)

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Answer 2

Answer:

Sorry mam or sir this is hard to explain here. I have pic of this answer but pics pixel is high thats why it is not upload on brainly. For answer you can contact me on insta :- _harnoor_dhillon. Or on telegram :- @Waranevaale