The diagonal of a square has length #10sqrt2# ft. What is the length of the side of the square?

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Answer 1 · 2017-01-01T21:07:26

#"side" = 10#ft

In a square, #"Area" = "side"^2#

If we know the area of a square the length of each side is given as :

#"side" = sqrt("area")#

The area of a square can be calculated using the lengths of the diagonals, which in a square are equal.

#"Area" = (d_1 xx d_2)/2#

#A = (10sqrt2 xx 10sqrt2)/2#

#A= (100 xx 2)/2#

#A=100#

#:. "side" = sqrt100#

#"side" = 10#ft