Find the side Of a square whose digonal is 1m longer than its side?

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Answer 1 · 2018-03-25T12:25:53

Sides of the square are #(1+sqrt 2)# meter each.

Let the sides and diagonal of the square is #x and x+1# meter.

respectively. Applying pythagoras formula for right triangle we

get, # x^2+ x^2 =(x+1)^2 or 2x^2= x^2+2x+1# or

#2x^2- x^2-2x-1=0 or x^2-2x=1 # or

#x^2-2x +1=1+1 or (x-1)^2=2 # or

#(x-1)= +- sqrt2 or x = 1+- sqrt2#

#:. x= 1+sqrt2 or x = 1-sqrt2# . side of a square canot be

negative . #:. x= 1+sqrt 2#

Sides of the square are #(1+sqrt 2)# meter each.[ Ans]