Question

A square floor tile has a diagonal that is 19 inches long. If x is the length of a square, write an equation that shows the relationship between the lengths of the sides and the diagonal.

Answer 1

diagonal length = d(x) = √2(x)

Explanation:

The length of the diagonal, d, as a function of x (length of one side) is

given by x^2 + x^2 = d^2, or

d(x) = √(2x^2) = √2(x)