Question

if the side if a square is of length 8 cm,find the lengths of its diagonalsm

Answer 1

Since a square can be divided into two congruent right traingles where its hypotenuse is the diagonal .

therefore diagonal = sqrt( 8^2 + 8^2 ) = 8sqrt2

Answer 2

IN triangle ABC,
angle ABC=90°
by applying pythigaras theorem
AC²=AB²+BC²                                      GIVEN AB=BC=8
AC=√64+64
AC=√128
AC=8√2CM
AS DIAGONALS ARE EQUAL
AC=BD=8√2CM