CBSE Class 9 Answered
diagonals PR,SQ of an quadrilateral PQRS meet at o provethat PQ+QR+RS+SP>(PR+QS)
Asked by | 08 Sep, 2012, 12:46: PM
Expert Answer
In a triangle, sum of two sides is more the third side.
So, in triangle PQR;
PQ + QR > PR (1)
In triangle PSR;
PS + SR > PR (2)
Adding (1) and (2);
PQ + QR + RS + SP > 2PR (3)
Similarly, it can be proved that
PQ + QR + RS + SP > 2QS (4)
Adding (3) and (4);
2(PQ + QR + RS + SP) > 2(PR + QS)
i.e. PQ + QR + RS + SP > PR + QS
Hence, proved.
Answered by | 08 Sep, 2012, 08:27: PM
Application Videos
Concept Videos
CBSE 9 - Maths
Asked by borakartike2 | 29 Dec, 2023, 09:21: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ghodage | 12 Dec, 2023, 07:23: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by vijaykasaudhan913 | 10 Dec, 2023, 04:40: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by aksharapatni | 30 Nov, 2023, 01:12: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by rajetigirija | 19 Nov, 2023, 08:11: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Krishna962511 | 23 Jan, 2023, 10:41: AM
ANSWERED BY EXPERT