If area of square is 96cm2 then its length of diagonal

1.	If area of square is 96cm2 then its length of diagonal
Answer» Answer: *8√3cm* Step-by-step explanation: S^2=96cm^2 ∴S=4√6cm A square can be divided into TWO right angled triangles. Consider ONE of the right triangles.Then its BASE and altitude are 4√6cm and its HYPOTENUSE will be the diagonal of the square. hyp.=√((4√6)^2+(4√6)^2) =√(96+96) =√192 =8√3cm

Answer»

Answer:

8√3cm

Step-by-step explanation:

S^2=96cm^2

∴S=4√6cm

A square can be divided into TWO right angled triangles.

Consider ONE of the right triangles.Then its BASE and altitude are 4√6cm and its HYPOTENUSE will be the diagonal of the square.

hyp.=√((4√6)^2+(4√6)^2)

=√(96+96)

=√192

=8√3cm

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If area of square is 96cm2 then its length of diagonal

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