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CBSE Class 9 Answered

In a paraalelogram ABCD, AB=10 cm and AD=6cm. The bisector of angle A meets DC in E. AE and BC produced meet at F. Find the length of CF.
Asked by Aajnya | 29 Feb, 2016, 07:31: PM
answered-by-expert Expert Answer
 
begin mathsize 14px style S i n c e space A E space i s space t h e space b i s e c t o r space o f space angle A comma space w e space h a v e angle 1 equals angle 2 space space space space space space.... left parenthesis 1 right parenthesis A B C D space i s space a space p a r a l l e log r a m comma rightwards double arrow A D space parallel to B C space i. e. comma space A D space parallel to B F rightwards double arrow angle 2 equals angle 3 space space space space space space space space.... left parenthesis a l t e r n a t e space a n g l e s right parenthesis rightwards double arrow angle 1 equals angle 3 space space space space space.... left square bracket F r o m space left parenthesis 1 right parenthesis right square bracket space space I n space triangle A B F comma space angle 1 equals angle 3 rightwards double arrow A B equals B F space space space space space space.... left parenthesis S i d e s space o p p o s i t e space t o space e q u a l space a n g l e s space a r e space e q u a l right parenthesis rightwards double arrow 10 equals B C plus C F rightwards double arrow 10 equals A D plus C F space space space space space space space space.... left parenthesis A D equals B C space.... O p p o s i t e space s i d e s space o f space a space p a r a l l e log r a m right parenthesis rightwards double arrow 10 equals 6 plus C F rightwards double arrow C F equals 10 minus 6 equals 4 space c m end style
Answered by Rashmi Khot | 01 Mar, 2016, 11:29: AM

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