Question

find the diagonal of a square whose side is 16cm​

Answer 1

Answer:

Diagonal is the hypotenuse .

Diagonal^2 = side^2 + side^2

=16^2 + 16^2

=256 + 256

=512

Diagonal = root 512.

Answer 2

Answer:

16√2

Step-by-step explanation:

In square ABCD, AC is diagonal.

side AB =side BC ...........( sides of square)....( 1 )

Diagonal AC bisects angle A and angle C

Hence, angle A =angle C =45 degree

In triangle ABC,

angle B =90 degree ..........( Angle of square)

By Pythagoras Theorem,

( AB ) ^2 + ( BC ) ^2 = ( AC) ^2

( 16 )^2 +( 16 )^2 = (AC) ^2

256+256= ( AC) ^2

512 = ( AC) ^2

AC = √512

AC= √256 x 2

AC =16√2 cm