Question

Find the length of diagonal QS of the square PQRS if the length of the diagonal PR is 8cm

Answer 1

While seeing the sum remember some things:

a - all sides of square are equal

b- al angles of square is 90 degree

C- according to pythogoras theirem

( Hypotenuse) 2 = ( base ) 2 + (perpendicular)2 .

Answer 2

The length of diagonal QS is 8cm.

Step-by-step explanation:

Given:

Quadrilateral PQRS is a square

length of diagonal PR is 8cm

To find:

length of diagonal QS

Solution:

It is given that quadrilateral PQRS is a square

According to the properties of square,

• 'The diagonals of a square are equal in length'.

• 'The diagonals of a square bisect each other at 90°'

Thus the diagonals PR & QS of the square PQRS will be equal to each other.

∴ diagonal PR= diagonal QS=8cm

Hence, the length of diagonal QS will be 8cm.