Question

The diagonals of a square measure 18 cm. what is its length??​

Answer 1

Answer:

$\frac{9\sqrt{2} }{2}$ cm.

Step-by-step explanation:

A diagonal of a square + two of its sides creates a 45-45-90 triangle. The relation between the lengths of said triangle is 1:1:√2. In this case the diagonal is the √2 of the ratio.

That means that the side length should be 18/√2, as this times √2 makes 18.

18/√2 simplifies to (18√2)/2 = (9√2)/2.