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Nyla
07-28-2013, 12:35 PM
Square's diagonal sat math geometry

How can I find the length of a diagonal of a square with a side length of 4?

Thanks

Jack
07-28-2013, 12:44 PM
Square's diagonal sat math geometry

How can I find the length of a diagonal of a square with a side length of 4?

Thanks

43

You need to apply Pythagoras' theorem to the right angled triangle ΔABD as follows:

AD^2+AB^2=BD^2 \Rightarrow BD^2=4^2+4^2=16+16=32 \Rightarrow BD=\sqrt{32}=\sqrt{2\cdot16}=4\sqrt{2} .

Hope these help!:)

Nyla
07-28-2013, 12:44 PM
Thanks Jack!