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Sagot :
Given :-
- The diagonal of a square is x .
To Find :-
- The area of the square in terms of x .
Solution :-
We know that in a square all the sides are equal . And hence the diagonal of the square is √2 times that of the side . So , if the diagonal is x then the side will be ,
[tex]\longrightarrow[/tex] Side = x/√2
Now again we know that the area of the square is side² . So that ,
[tex]\longrightarrow[/tex] Area = x/√2 * x/√2
[tex]\longrightarrow[/tex] Area = x * x / √2*√2
[tex]\longrightarrow[/tex] Area = x²/2
[tex]\longrightarrow[/tex] Area = 1/2 * (diagonal)²
Hence the required answer is x²/2.
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