Question

Toconstruct a square how many measurements are required

Answer 1

Construction of Square

Answer: one measurement is enough to define or construct the square that is side of the square or diagonal of square.

Explanation:

To construct a square only one measurement is required. either one should be knowing measurment of one side of square or measurement of one diagonal of square.

suppose we know the diagonal of square than

side of square can directly calculate by formula

side of square = diagonal of square / √2.

Step to construct a square ABCD of side x cm

1) Draw AB = x cm

2)On point A draw perpendicular and cut an arc of x cm. we will get point D such that AD = a cm

3)On point B also draw perpendicular and cut an arc of x cm on same side as did for point D . we will get point C such that BC = x cm

4) Join C and D . CD should also be x cm.

Hence one measurment is enough to define or construct the square that is side of the square or diagonal of square.

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