Question

I PORS is a
rectangle
IF l (pq)=5cm
l (qR)=12cm
then l (PR )= ?​

Answer 1

Step-by-step explanation:

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