Question

AD,BE,CF are altitudes of triangle ABC and are equal.prove triangle ABC is equilateral using congruence

Answer 1

Hope this helps............................................

Answer 2

Answer:

It is proved that ABC is an equilateral triangle using congruence

Step-by-step explanation:

Step 1: Given Data  

Consider triangle ABE and triangle ACF

Step 2: BE = CF (given)

∠A = ∠A (common)

∠AFB = ∠AFC = 90 degrees

Step 3: AB = AC  

(Therefore Triangle DAC is congruent to Triangle CBE)

AC = BC  

Step 4: Triangle BCF is congruent to Triangle ABD

AB = BC  

Now,

AB = BC

AC = BC

AB = AC

AB = BC = AC  

ABC is an equilateral triangle using congruence