Question

FIND AB=CD please help me in this question​

Answer 1

Answer:

It is been given in the question that

AC=BDAC=BD…………………… (1)

Now, it is clear from the figure that point B lies between A and C.

So, we can say that

AC=AB+BCAC=AB+BC………………….. (2)

Now, again it is clear that point C lies between B and D.

So, we can say that

BD=BC+CDBD=BC+CD……………………… (3)

Now, let’s substitute equation (2) and equation (3) in equation (1) we get

⇒AB+BC=BC+CD⇒AB+BC=BC+CD

Simplifying it further, we get

⇒AB+BC−BC=CD⇒AB+BC−BC=CD

Therefore,

AB=CDAB=CD

Hence proved.

Answer 2

AC=AB+BC

BD=CD+BC

AC=BD (given)

AB+BC=CD+BC

AB+BC-BC=CD

AB=CD

Hence proved

hope this will help