Question

it is an triangle prove that triangle ABD and ACD are congruent

Answer 1

Apply RHS Congruency rule

In ∆ ADB & ∆ ADC

angle ADB = angle ADC ....(90°)

AB = AC..(given)

AD = AD >>>>(common)<<<<

∆ ADB congruent to ∆ ADC

Now we all so say DB = DC ....

Answer 2

Answer:

Since the both triangle is right angled triangle

Thus, Applying RHS Concurrency rule ,

In ∆ ADB & ∆ ADC

AB = AC (Given)  

∠ ADB = ∠ ADC = 90°

AD = AD [∵Common]

Thus, ∆ ADB ≅ ∆ ADC  [By RHS Concurrency]