Question

Please answer. Have an assignment tomorrow.

Given:- ABC is a triangle. AD and CE are altitudes. FE =ED and HD=CD. To prove that FDHA is cyclic. Figure in the attachment below.

Answer 1

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 ©©

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Hope this is helpful for u :)

Answer 2

Answer:

Step-by-step explanation:

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

Hope it will help you