Consider rectangle pqrs (not shown) with pq=12 and ps=16. if a and b are the midpoints of sides and respectively, find ab.

The answer is AB =10

Step-by-step explanation:

In the given figure there is a rectangle PQRS

Given :PQ=12

PS=16

Since it is a rectangle

∵ PQ=RS

and PS=QR

i.e. QR=16

A is mid point of PQ

⇒QA =

=6

B is mid point of QR

⇒ QB=

=8

So In Δ AQB

Applying pythagoras theorem

AQ² +BQ² =AB²

∵ AB²=6²+8²

=36 +64

=100

i.e. AB=√100

=10

to rewrite a literal equation you may need to divide by a number, or by a variable.

hope i .