Respuesta :
If the length of a diagonal of a square is a . The length of its side will be a/√2.
How to find the area of the square?
The area of the square is found as the square of the length of its side. If the length of a side is a;
Area of a square = side²
Given;
The length of the diagonal is a and the side of the square is x then;
From the pythogorours theorem;
⇒x²+x² =a²
⇒2x²=a²
⇒x²=a²/2
⇒x=a/√2
Hence the length of its side will be a/√2.
To learn more about the area of the square, refer to:
https://brainly.com/question/1658516
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