Question

A square has a diagonal of length 8 cm . find the length of each side of the square as a surd

Answer 1

let the length of side of the square be a

by the Pythagoras theorem a^2 + b ^2 = c^2

taking b=a, a^2 + a^2 =2a^2

= a

a= 8

2a^2 = 64

a^2 = 32

a =

a = 4

Answer 2

let the length of side of the square be a

by the Pythagoras theorem a^2 + b ^2 = c^2

taking b=a, a^2 + a^2 =2a^2

= a
`√(2)`

a
`√(2)`= 8

2a^2 = 64

a^2 = 32

a =
`√(32)`

a = 4
`√(2)`