Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

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 toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

ABCD is a square. M is a point on AB such that AM=MB. P&Q are points on sides AD & extended CB such that CM is perpendicular to PQ. Show that ar(CPM)=(CQM)

Asked by archita123 13th March 2015, 4:42 PM
Answered by Expert
Answer:
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
C o n s i d e r space t h e space t r i a n g l e s space triangle A P M space a n d triangle B Q M angle A M P equals angle B M Q space space space space space left square bracket v e r t i c a l l y space o p p o s i t e space a n g l e s space a r e space e q u a l right square bracket A M equals M B space space space space space space space space space space space space space space space space space left square bracket g i v e n right square bracket angle M A P equals angle M B Q equals 90 degree space space space space left square bracket A B C D space i s space a space s q u a r e comma space h e n c e space c o r r n e r space a n g l e s space a r e space r i g h t space a n g l e s right square bracket T h u s comma space b y space A n g l e minus S i d e minus A n g l e space c r i t e r i o n space o f space c o n g r u e n c e comma space w e space h a v e comma triangle A P M approximately equal to triangle B Q M T h e space c o r r e s p o n d i n g space p a r t s space o f space t h e space c c o n g r u e n t space t r i a n g l e s space a r e space c o n g r u e n t. T h u s comma space b y space c p c t comma space P M equals Q M  J o i n space C P N o w space c o n s i d e r space t h e space t r i a n g l e s space triangle C P M space a n d space triangle C Q M C M equals C M space space space space left square bracket c o m m o n angle C M P equals angle C M Q equals 90 degree space space space space left square bracket g i v e n right square bracket P M equals Q M space space space space space left square bracket f r o m space e q u a t i o n space left parenthesis 1 right parenthesis right square bracket T h u s comma space w e space h a v e comma triangle C P M space approximately equal to space triangle C Q M C o n c g r u e n t space t r a i n g l e s space h a v e space e q u a l space a r e a s comma space h e n c e space A r e a open parentheses triangle C P M close parentheses space equals A r e a space open parentheses triangle C Q M close parentheses
Answered by Expert 14th March 2015, 11:49 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp