Question

Geometric proofs of segments

Answer 1

Answer:

The proof is shown below.

Step-by-step explanation:

Given: B is mid point of AC and C is mid-point of BD.

To prove: AD=3AB

It is given that B is mid-point of AC.

⇒ AB = BC               ...(1)

Also, C is mid-point of BD.

⇒ BC = CD               ...(2)

From (1) and (2),

AB = BC = CD

Now, AD = AB + BC + CD

⇒ AD = AB + AB + AB             (∵ AB = BC = CD )

Hence proved.