Question

The fcr.TUla for the diagonal of a square is......

e tE a3

a tE a?

c 16. a

D 2a2​

Answer 1

QUESTION:-

The formula for diagonal of a square is .........

SOLUTION:-

The formula is √2a

where a is the side of the given square

Answer 2

A square has two diagonals. Each one is a line segment drawn between the opposite vertices(corners) of the square. The diagonals have the following properties:

The two diagonals are congruent (same length).Each diagonal bisects the other. In other words, the point where the diagonals intersect (cross), divides each diagonal into two equal partsEach diagonal divides the square into twocongruent isosceles right triangles. Because the triangles are congruent, they have the samearea, and each triangle has half the area of the square.

Length of the diagonal

The diagonal of the square is the hypotenuse of these triangles. We can usePythagoras' Theorem to find the length of the diagonal if we know the side length of the square.

As a formula:

diagonal

=

√

s

2

+

s

2

where s  is the length of any side 

which simplifies to:

s

√

2

.So the answer is underroot 2×Side

√2×side