One diagonal of a square measures 154 in. What is the length of one side of the square? (Round to 2 decimal places.)

1 Answer
jagbhan
Mar 22, 2018

108.89 inches

Explanation:

the diagonal of the square measures 154 inches.
let the sides be s.
we know that the diagonal of square is the hypotenuse of isoscles right angled triangle.
so according to pythagoras theorom
#hypoten use ^2 = height^2+base^2#
#154^2 = s^2+s^2#

#23716 =2s^2#
#s^2=23716/2#
#s^2=11858#
#s=sqrt11858#
#s=108.89 i nches#

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