Question

The diagonal of a square is 60 in, as shown

in the diagram. What is the length of a side
to the nearest tenth of an inch?

Answer 1

The length of side is 42.4 inches.

Explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

`x^2+x^2=(60)^2\\2x^2=3600\\x^2=(3600)/(2)\\x^2=1800`

Taking square root on both sides

`√(x^2)=√(1800)\\x=42.4`

Hence,

The length of side is 42.4 inches.