The diagonal of a square is the side of another square. calculate the diagonal of the second

The diagonal of a square is the side of another square. calculate the diagonal of the second square if the side of the first square is 0.5 m.

To solve this problem, we introduce the conditional variable “X”, through which we denote the diagonal of the second square.

The first step is to define the diagonal of the first square and, accordingly, the side of the second square.

As a result, we get √ (0.5 x 0.5 + 0.5 x 0.5) = √0.5 meters.

Then, based on the data of the problem, we will compose the following equation: X x X = (√0.5) 2 + (√0.5) 2.

Solving this equation, we get X equal to 1 meter.

Therefore, the diagonal of the second square is 1 meter.

Answer: The diagonal of the second square is 1 meter.