Answer:
Side of the square ≅ [tex]16.97[/tex]
Step-by-step explanation:
The diagonal of a square with side 'a' makes right angled Isosceles triangle.
The Diagonal becomes hypotenuse of the triangle i.e 24 m (given)
Using Pythagorean Theorem:
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
As, Perpendicular and base of the triangle is equal in case of a square with a side of 'a'
[tex]H^2=a^2+a^2\\\\24^2=2a^2\\\\2a^2=576\\\\a^2=288\\\\a=\sqrt{288} \\\\[/tex]≅ [tex]16.97[/tex]
OR, (Alternate method)
Diagonal of a square = [tex]\sqrt{2}*a[/tex]
: [tex]\sqrt{2} =1.414[/tex]
[tex]24=\sqrt{2}*a\\\\ 24=1.414*a\\\\a=\frac{24}{1.414} \\\\a=16.973[/tex]
Answer:
The correct answer is 28.3
Hope this helps. Have a great day!!!
