Geometry question

ABCD is a rhombus.'N' is a point on AB .NP and NQ are two perpendiculars to AC and BD respectively.Find the length of PQ if AC=16 cm, BD=30 cm.

5 Answers

36
rahul ·

wrong question....

See, the point N is not specific... i mean neither a mid point nor a particular point dividing AB in some ratio nd all... so there can be many cases formed by taking any arbitrary point N on AB..
but does the length PQ always remains constant.. If yes then why not to take the mid point of AB as N... simple...!!
which gives PQ = 8.5 cms

11
Sambit Senapati ·

You are mistaken. Check your figure again. If you take the midpoint of AB as N then PQ is not 8.5cm.

36
rahul ·

why?
apply mid point theorem....!!
nd then check...!!

11
Sambit Senapati ·

I'm really sorry. You are right. It is 8.5 with this question. Actually the thing is that from where I had received the question it was given that NP was perpendicular to CD. But I mistyped the question. But, now I think this was the actual question (which is fairly easy).
Sorry for the inconvenience.

1
anky2930 don ·

You can easily solve this question by using the mid point formula and let me know your answer then I will tell mine,Let's see if they are same or not.

Your Answer

Close [X]