Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/JUNIOR/Class 6/Mathematics

ABP and AQP are 2 triangles on same base AP , side AQ and BP intersect at D .C is a point on side AP such that AB is parellel to CD is parallel to PQ .if AB =a ,CD =b,PQ=c.prove that 1/a+1/b=1/c

Asked by mkvinvestments6 16th September 2015, 6:26 PM
Answered by Expert
Answer:

hi doing.

S i n c e space C D vertical line vertical line A B comma space triangle P C D space i s space s i m i l a r space t o space triangle P A B rightwards double arrow b over a equals fraction numerator P C over denominator P A end fraction.. left parenthesis 1 right parenthesis S i m i l a r l y comma space C D vertical line vertical line P Q. space H e n c e comma space triangle A C D space i s space s i m i l a r space t o space triangle A P Q. rightwards double arrow b over c equals fraction numerator A C over denominator P A end fraction.. left parenthesis 2 right parenthesis A d d i n g space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis space w e space g e t b over a plus b over c equals fraction numerator P C over denominator P A end fraction plus fraction numerator A C over denominator P A end fraction rightwards double arrow b open parentheses 1 over a plus 1 over c close parentheses equals fraction numerator P C plus A C over denominator A P end fraction equals fraction numerator P A over denominator A P end fraction equals 1 rightwards double arrow 1 over a plus 1 over c equals 1 over b space left parenthesis P r o v e d right parenthesis

Answered by Expert 16th September 2015, 6:43 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

RELATED STUDY RESOURCES :
JUNIOR Class-6 QUESTION ANSWERS

Chat with us on WhatsApp