Question

Calculate the length of the side of the square to 1dp.​

Answer 1

Answer:

72 cm

Step-by-step explanation:

You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x$\sqrt{2}$.

This means $x\sqrt{2} =12$, so  $x=\frac{12}{\sqrt{2} }$.

Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and $x=\frac{12}{\sqrt{2} }$ , you can square $\frac{12}{\sqrt{2} }$ to get the area. This is equal to $\frac{144}{2}$ or 72 cm.