Question

3. The area of a square is 169 cmWhat is the length of the diagonal of
the square?

Answer 1

Answer:

18.4 cm

Step-by-step explanation:

A square has equal sides.  Let's say one side is x.  The area would be x^2.  We know the area to be 169 cm^2, so:

x^2 = 169 cm^2

x = 13 cm

The diagonal, z,  would form a right triangle with two sides of length 13 cm.  The Pythagorean theorem can be used:

13^2 + 13^2 = z^2

z^2 = 338

z = 18.38 cm, or 18.4 cm