Question

The length of each diagonal of a square of side ‘a’ units is​

Answer 1

Answer:

The length of the diagonal of the unit square equals the square root of 2. The length of the diagonal of the unit square equals √2.

Step-by-step explanation:

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Answer 2

Given,

The length of the side of square = a units

To Find,

The length of each diagonal of the square.

Solution,

Since we know that the sides of the square are equal.

So, the two adjacent sides and the diagonal of square will form a right angled triangle.

Using the pythagoras theorem,

P²+B² = H²

where, perpendicular = base = a and hypotenuse = diagonal.

a²+a² = diagonal²

diagonal = √2a²

diagonal = a√2

Hence, the diagonal of the square is a√2