Solve this: Q In the given fig, T is a point on the side QR of △PQR and S is - Maths - Triangles

Question

Solve this:
Q   I n   t h e   g i v e n   f i g ,   T
  i s   a   p o i n t   o n   t h e  
s i d e   Q R   o f   △ P Q R   a n d
  S   i s   a   p o i n t   s u c h
  t h a t   T R = T S P r o v e   t h a t   P Q
+ P R > Q S

Shruti Tyagi · Accepted Answer

Dear student,

In triangle PQR, we have,  PQ+PR>QR      [In a triangle, sum of any two sides is always greater than third side
]  PQ+PR>QT+TR     [as, QR = QT + TR]  PQ+PR>QT+TS     [ as, TR = TS ]            
(1)  In triangle QST, we have,   QT+TS>QS      [In a triangle, sum of any two sides is always greater than third side
]         
(2)  From (1) and (2), we can conclude that,  PQ+PR>QS

Regards

Solve this: Q . I n t h e g i v e n f i g , T i s a p o i n t o n t h e s i d e Q R o f △ P Q R a n d S i s a p o i n t s u c h t h a t T R = T S . P r o v e t h a t P Q + P R > Q S

Solve this:
$Q . I n t h e g i v e n f i g, T i s a p o i n t o n t h e s i d e Q R o f △ P Q R a n d S i s a p o i n t s u c h t h a t T R = T S . P r o v e t h a t P Q + P R > Q S$