Question

The given square has a diagonal of 24 meters. What is the measure of a side length? Round to the nearest tenth, if necessary

Answer 1

The correct answer is 28.3

Hope this helps. Have a great day!!!

Answer 2

Side of the square ≅
`16.97`

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:

`(Hypotenuse)^2=(Perpendicular)^2+(Base)^2`

As, Perpendicular and base of the triangle is equal in case of a square with a side of 'a'

`H^2=a^2+a^2\\\\24^2=2a^2\\\\2a^2=576\\\\a^2=288\\\\a=√(288) \\\\`≅
`16.97`

OR, (Alternate method)

Diagonal of a square =
`√(2)*a`

:
`√(2) =1.414`

`24=√(2)*a\\\\ 24=1.414*a\\\\a=(24)/(1.414) \\\\a=16.973`