Question

The diagonals of a square are 4 meters long. The side of this square is equal to the diagonal of a second square. Find the side of the second square.

Answer 1

check the picture below.

since the second figure is also a square, then the sides touching the diagonals have to be all equal, and that'd only happen if those sides bisects the larger square's diagonal.

Answer 2

We will see that the side length of the square whose diagonal measures 4 m, is S = 2.83 meters.

How to find the side length of the square?

For a square of side length S, the diagonal measures:

$d = \sqrt{S^2 + S^2} = S*\sqrt{2}$

In this case, the diagonal measures 4 meters, then we can write:

$4m = \sqrt{2} *S$

Now we can solve this for S by dividing both sides by square root of 2, we will get

$4m/ \sqrt{2} = S = 2.83 m$

The side length of the square is 2.83 meters.

If you want to learn more about squares:

https://brainly.com/question/24487155

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