Question

Abc is a right triangle with ab=ac, bisector of a meets bc at

d. Prove that bc=2ad

Answer 1

Answer:

Hence ,

BC = 2AD. Proved.

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

In Δ , ABC right angled at A and AB = AC  

Hence ∠ A = ∠ B  

We know that Sum of angles of a triangle = 180º  

∠A+ ∠B+ ∠C=180º  

90º+∠B+∠B=180º  

2∠B=180º -90º  

2∠B=90º  

∠B=45º………………………………………..(i)  

ALSO , AD is the bisector of BAC  

So , ∠BAD = ∠CAD = 90º/2 = 45º …………………………….(ii)  

∠BAD = ∠ABC  

SO, AD = BD ………………………………(iii) .  

Similarly angle CAD = angle ACD  

So, AD = DC ………………………………..(iv)  

adding equation (iii) and (iv)  

We will get, AD + AD = BD+DC  

2AD = BC