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bija089 [108]
3 years ago
9

Consider rectangle PQRS (not shown) with PQ=12 and PS=16. If A and B are the midpoints of sides PQ?????? and QR?????? respective

ly, find AB.

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer: 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 =\frac{12}{2}

=6

B is mid point of QR

⇒ QB=\frac{16}{2}

=8

So In Δ AQB

Applying pythagoras theorem

AQ² +BQ² =AB²

∵ AB²=6²+8²

=36 +64

=100

i.e. AB=√100

=10

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