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CBSE Class 9 Answered

PQRS is a parallelogram whose area is 180 and P is  any point on diagonal QS . The area of  triangle ASR = 90cm square . Show whether this statement is true or false ?
Asked by mathuneerajrox | 19 Feb, 2015, 03:00: PM
answered-by-expert Expert Answer
Error: the service is unavailable.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.
G i v e n space t h a t space a r e a space o f space t h e space p a r a l l e log r a m space i s space 180 space c m squared L e t space A space b e space a n y space p o i n t space o n space Q S. S i n c e space t h e space d i a g o n a l space b i s e c t s space t h e space p a r a l l e log r a m space i n t o space t w o space e q u a l space a r e a space o f space t r i a n g l e s comma w e space h a v e comma space A open parentheses triangle P Q S close parentheses equals A open parentheses triangle Q S R close parentheses T h u s comma space A open parentheses triangle P Q S close parentheses equals A open parentheses triangle Q S R close parentheses equals 180 over 2 equals 90 space c m squared B u t space A open parentheses triangle A S R close parentheses equals A open parentheses triangle Q S R close parentheses equals 180 over 2 equals 90 space c m squared space o n l y space i f space t h e space p o i n t space A space c o i n c i d e s space w i t h space Q. S o space t h e space g i v e n space s t a t e m e n t space i s space f a l s e.
Answered by Vimala Ramamurthy | 20 Feb, 2015, 10:04: AM

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