Question

PQRS is a rectangle , pq =15 diagonals what is the value of rs​

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 =

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

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