Question

PQRS is a rectangle with adjecent side 12cm and 5 cm .If o is the point of intersectionof it's diagonal,find the length of seg op​

Answer 1

Answer:

PQRS is a given rectangle Sides of rectangle PS=5cm and PQ=12cm(Given)

Since opposite sides of rectangle are equal

⇒PQ=SR=12cm

⇒PS=QR=5cm

In rectangle all the angles are right angles

Hence length of diagonal =

l

2

+b

2

​

Now in △PQR

using Pythagoras theorem, we have

PR

2

=PQ

2

+QR

2

⇒PR=

12

2

+5

2

​

⇒PR=

144+25

​

⇒PR=

169

​

=13

Hence length of diagonal PR=13cm

Similarly length of diagonal QS=13cm

Step-by-step explanation:

Answer 2

Step-by-step explanation:

given sides of the rectangle are 12cm and 5cm

by applying Pythagoras theorem we get the length of the diagonal

PR² = PQ² + QR²

PR² = 12² + 5²

PR² = 144 + 25

PR² = 169

PR = 13

in rectangle point of intersection of diagonals divide diagonals into two equal halfs

so PR = PO + OR

PO = OP = OR = 6.5cm