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  • 09-02-2017
  • Mathematics
contestada

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

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samszy2805 samszy2805
  • 09-02-2017

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[tex] \sqrt{2} [/tex]

a[tex] \sqrt{2} [/tex]= 8

2a^2 = 64

a^2 = 32

a = [tex] \sqrt{32} [/tex]

a = 4[tex] \sqrt{2} [/tex]

Answer Link
SAMIRO14 SAMIRO14
  • 09-02-2017

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 Link

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