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IF PQRS IS A SQUARE AND PS IS A DIAGONOL IF PR=QS=5cm than PS=?

Asked by Lalith 21st September 2016, 8:31 PM
Answered by Expert
Answer:
Kindly check the question. It seems to be incorrect. PQRS is a square and PS is a diagonal.
These two statements are contradicting.
However, I am assuming the question is as follows and solving it. Hope this helps.
 
IF PQRS is a square and PR=QS=5cm then PS=?
Solution:
begin mathsize 16px style Since space PQRS space is space straight a space square comma space the space diagonals space PR space and space QS space bisect space eachother space at space right space angles.
So comma space angle POS equals 90 degree space and space OS space equals space OP equals 2.5 space cm
In space right space increment POS comma
By space Pythagoras space theorem comma
PS squared equals PO squared plus OS squared
rightwards double arrow PS squared equals 2.5 squared plus 2.5 squared
rightwards double arrow PS squared equals 6.25 plus 6.25
rightwards double arrow PS squared equals 2 cross times 6.25 equals 12.5
rightwards double arrow PS equals square root of 12.5 end root almost equal to 3.55 space cm end style
Answered by Expert 22nd September 2016, 12:00 PM
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