1) Find the side and the perimeter of a square whose diagonal is 32 cm
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Answer: we can use pythagoras theorem for finding the answer
Step-by-step explanation: The diagonal can be considered as the hypotenuse , the other two sides in the square can be considered as base and altitude.
since all the sides in the square are equal we can consider the base and the altitude as X
pythagoras formula
base sqaured + altitude squared = hypotenuse squared
x² + x²= (hypotenuse)²
2x²=32²=2x²=1024
x² =1024/2
x²=512
x=√512=16√2
side of the square=16√2 cm
perimeter = 4 x side of square
= 64√2cm
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