Question

If an equilateral triangle ∆ABC,D is the point on side BC.such that BD=BC,prove that if ADsquare=3BCsquare

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Answer 1

Answer:Your question is a bit wrong.

I have corrected it and hope you find a correct solution. Photo attached

Step-by-step explanation:

Answer 2

Answer:

Given:- AB=BC=AC=1/2BD =1/2DC

To prove:- AD^2=3BC^2

Procedure:- In ∆ABD. By applying Pythagoras Theorem

AB^2=AD^2+BD^2

AB^2=AD^2+(1/2BC)^2. (BD=1/2BC)

BC^2=AD^2+1/4BC^2. (AB=BC)

AD^2=BC^2 - 1/4BC^2

AD^2=3/4BC2

4AD^2=3BC^2. Proved.....